क्रम \(2,4,6,8,\ldots\) का अगला पद क्या है?
What is the next term of the sequence \(2,4,6,8,\ldots\)?
#sequences
#pattern
#next_term
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A (10)
B (11)
C (12)
D (14)
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Explanation
Simple Explanation
हर बार (2) जोड़ा जा रहा है। पैटर्न पहचानना महत्वपूर्ण है। / Each term increases by (2). Always look for the pattern.
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क्रम \(5,10,15,20,\ldots\) का पाँचवाँ पद क्या है?
What is the fifth term of the sequence \(5,10,15,20,\ldots\)?
#sequences
#term_finding
#counting
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A (20)
B (25)
C (30)
D (35)
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Explanation
Simple Explanation
हर बार (5) बढ़ रहा है। पाँचवाँ पद (25) है। / The sequence increases by (5). The fifth term is (25).
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क्रम \(1,3,5,7,\ldots\) में चौथा पद कौन सा है?
Which is the fourth term in the sequence \(1,3,5,7,\ldots\)?
#sequences
#odd_numbers
#terms
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A (3)
B (5)
C (7)
D (9)
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Explanation
Simple Explanation
पद क्रम से गिनें। चौथा पद (7) है। / Count the terms in order. The fourth term is (7).
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क्रम \(10,20,30,40,\ldots\) का अगला पद क्या होगा?
What will be the next term of \(10,20,30,40,\ldots\)?
#sequences
#next_term
#pattern
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A (45)
B (48)
C (50)
D (55)
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Explanation
Simple Explanation
हर बार (10) जोड़ा जा रहा है। अगला पद (50) है। / Each term increases by (10). The next term is (50).
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क्रम \(12,11,10,9,\ldots\) का अगला पद क्या है?
What is the next term of \(12,11,10,9,\ldots\)?
#sequences
#decreasing
#next_term
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A (8)
B (7)
C (6)
D (5)
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Explanation
Simple Explanation
हर बार (1) घट रहा है। अगला पद (8) है। / Each term decreases by (1). The next term is (8).
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क्रम \(4,8,12,16,\ldots\) का छठा पद क्या है?
What is the sixth term of \(4,8,12,16,\ldots\)?
#sequences
#term_finding
#arithmetic
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A (20)
B (24)
C (28)
D (32)
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Explanation
Simple Explanation
हर बार (4) बढ़ता है। छठा पद (24) है। / Each term increases by (4). The sixth term is (24).
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क्रम \(7,14,21,28,\ldots\) में तीसरा पद क्या है?
What is the third term in \(7,14,21,28,\ldots\)?
#sequences
#multiples
#terms
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A (14)
B (28)
C (21)
D (35)
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Explanation
Simple Explanation
तीसरा पद सीधे (21) है। पदों की गिनती सावधानी से करें। / The third term is (21). Count terms carefully.
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क्रम \(30,27,24,21,\ldots\) का अगला पद क्या है?
What is the next term of \(30,27,24,21,\ldots\)?
#sequences
#decreasing
#pattern
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A (20)
B (19)
C (17)
D (18)
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Explanation
Simple Explanation
हर बार (3) घट रहा है। अगला पद (18) है। / Each term decreases by (3). The next term is (18).
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क्रम \(9,18,27,36,\ldots\) किस संख्या के गुणज हैं?
The sequence \(9,18,27,36,\ldots\) consists of multiples of which number?
#sequences
#multiples
#pattern
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A (9)
B (6)
C (3)
D (12)
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Explanation
Simple Explanation
सभी पद (9) के गुणज हैं। गुणज पहचानना उपयोगी है। / All terms are multiples of (9). Recognizing multiples is useful.
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क्रम \(100,90,80,70,\ldots\) का अगला पद क्या होगा?
What will be the next term of \(100,90,80,70,\ldots\)?
#sequences
#decreasing
#next_term
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A (50)
B (60)
C (65)
D (75)
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Explanation
Simple Explanation
हर बार (10) घट रहा है। अगला पद (60) है। / Each term decreases by (10). The next term is (60).
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क्रम \(2,5,8,11,\ldots\) में चौथा पद क्या है?
What is the fourth term in \(2,5,8,11,\ldots\)?
#sequences
#counting
#terms
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A (5)
B (8)
C (11)
D (14)
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Explanation
Simple Explanation
चौथा पद (11) है। पदों को क्रम से गिनें। / The fourth term is (11). Count the terms in order.
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क्रम \(15,18,21,24,\ldots\) का पाँचवाँ पद क्या है?
What is the fifth term of \(15,18,21,24,\ldots\)?
#sequences
#arithmetic
#term_finding
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A (25)
B (26)
C (27)
D (28)
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Explanation
Simple Explanation
हर बार (3) बढ़ता है। पाँचवाँ पद (27) है। / Each term increases by (3). The fifth term is (27).
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क्रम \(50,45,40,35,\ldots\) का अगला पद क्या है?
What is the next term of \(50,45,40,35,\ldots\)?
#sequences
#decreasing
#next_term
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A (30)
B (25)
C (20)
D (15)
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Explanation
Simple Explanation
हर बार (5) घट रहा है। अगला पद (30) है। / Each term decreases by (5). The next term is (30).
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क्रम \(6,12,18,24,\ldots\) में दूसरा पद क्या है?
What is the second term in \(6,12,18,24,\ldots\)?
#sequences
#terms
#basic
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A (6)
B (12)
C (18)
D (24)
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Explanation
Simple Explanation
दूसरा पद (12) है। क्रम को ध्यान से पढ़ें। / The second term is (12). Read the sequence carefully.
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क्रम \(1,4,7,10,\ldots\) का अगला पद क्या होगा?
What will be the next term of \(1,4,7,10,\ldots\)?
#sequences
#pattern
#next_term
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A (11)
B (12)
C (13)
D (14)
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Explanation
Simple Explanation
हर बार (3) जोड़ा जा रहा है। अगला पद (13) है। / Each term increases by (3). The next term is (13).
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क्रम \(40,35,30,25,\ldots\) का पाँचवाँ पद क्या है?
What is the fifth term of \(40,35,30,25,\ldots\)?
#sequences
#decreasing
#term_finding
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A (15)
B (20)
C (25)
D (30)
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Explanation
Simple Explanation
हर बार (5) घट रहा है। पाँचवाँ पद (20) है। / Each term decreases by (5). The fifth term is (20).
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क्रम \(3,6,9,12,\ldots\) में छठा पद क्या है?
What is the sixth term of \(3,6,9,12,\ldots\)?
#sequences
#multiples
#term_finding
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A (15)
B (18)
C (21)
D (24)
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Explanation
Simple Explanation
हर बार (3) बढ़ता है। छठा पद (18) है। / Each term increases by (3). The sixth term is (18).
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क्रम \(22,20,18,16,\ldots\) का अगला पद क्या है?
What is the next term of \(22,20,18,16,\ldots\)?
#sequences
#decreasing
#pattern
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A (12)
B (13)
C (14)
D (15)
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Explanation
Simple Explanation
हर बार (2) घट रहा है। अगला पद (14) है। / Each term decreases by (2). The next term is (14).
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क्रम \(8,16,24,32,\ldots\) का पाँचवाँ पद क्या होगा?
What will be the fifth term of \(8,16,24,32,\ldots\)?
#sequences
#multiples
#terms
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A (36)
B (38)
C (40)
D (42)
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Explanation
Simple Explanation
हर बार (8) बढ़ता है। पाँचवाँ पद (40) है। / Each term increases by (8). The fifth term is (40).
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क्रम \(14,13,12,11,\ldots\) का अगला पद क्या है?
What is the next term of \(14,13,12,11,\ldots\)?
#sequences
#decreasing
#next_term
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A (10)
B (9)
C (8)
D (7)
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Explanation
Simple Explanation
हर बार (1) घट रहा है। अगला पद (10) है। / Each term decreases by (1). The next term is (10).
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क्रम \(11,22,33,44,\ldots\) में चौथा पद क्या है?
What is the fourth term in \(11,22,33,44,\ldots\)?
#sequences
#multiples
#counting
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A (22)
B (33)
C (44)
D (55)
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Explanation
Simple Explanation
चौथा पद (44) है। क्रम को सही गिनें। / The fourth term is (44). Count the sequence correctly.
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क्रम \(6,9,12,15,\ldots\) का अगला पद क्या होगा?
What will be the next term of \(6,9,12,15,\ldots\)?
#sequences
#next_term
#arithmetic
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A (17)
B (18)
C (19)
D (20)
Explanation opens after your attempt
Explanation
Simple Explanation
हर बार (3) बढ़ता है। अगला पद (18) है। / Each term increases by (3). The next term is (18).
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क्रम \(28,24,20,16,\ldots\) का अगला पद क्या है?
What is the next term of \(28,24,20,16,\ldots\)?
#sequences
#decreasing
#pattern
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A (14)
B (13)
C (12)
D (11)
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Explanation
Simple Explanation
हर बार (4) घट रहा है। अगला पद (12) है। / Each term decreases by (4). The next term is (12).
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क्रम \(13,18,23,28,\ldots\) में पाँचवाँ पद क्या है?
What is the fifth term in \(13,18,23,28,\ldots\)?
#sequences
#term_finding
#pattern
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A (31)
B (32)
C (33)
D (34)
Explanation opens after your attempt
Explanation
Simple Explanation
हर बार (5) बढ़ रहा है। पाँचवाँ पद (33) है। / Each term increases by (5). The fifth term is (33).
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क्रम \(90,80,70,60,\ldots\) का अगला पद क्या है?
What is the next term of \(90,80,70,60,\ldots\)?
#sequences
#decreasing
#next_term
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A (40)
B (45)
C (50)
D (55)
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Explanation
Simple Explanation
हर बार (10) घट रहा है। अगला पद (50) है। / Each term decreases by (10). The next term is (50).
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क्रम \(2,7,12,17,\ldots\) में चौथा पद क्या है?
What is the fourth term in \(2,7,12,17,\ldots\)?
#sequences
#counting
#terms
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A (12)
B (17)
C (22)
D (27)
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Explanation
Simple Explanation
चौथा पद (17) है। पदों को क्रम से गिनें। / The fourth term is (17). Count the terms in order.
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क्रम \(25,30,35,40,\ldots\) का अगला पद क्या है?
What is the next term of \(25,30,35,40,\ldots\)?
#sequences
#next_term
#pattern
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A (43)
B (44)
C (45)
D (46)
Explanation opens after your attempt
Explanation
Simple Explanation
हर बार (5) जोड़ा जा रहा है। अगला पद (45) है। / Each term increases by (5). The next term is (45).
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क्रम \(18,15,12,9,\ldots\) का अगला पद क्या होगा?
What will be the next term of \(18,15,12,9,\ldots\)?
#sequences
#decreasing
#next_term
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A (7)
B (6)
C (5)
D (4)
Explanation opens after your attempt
Explanation
Simple Explanation
हर बार (3) घट रहा है। अगला पद (6) है। / Each term decreases by (3). The next term is (6).
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क्रम \(4,9,14,19,\ldots\) का पाँचवाँ पद क्या है?
What is the fifth term of \(4,9,14,19,\ldots\)?
#sequences
#arithmetic
#terms
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A (22)
B (23)
C (24)
D (25)
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Explanation
Simple Explanation
हर बार (5) बढ़ता है। पाँचवाँ पद (24) है। / Each term increases by (5). The fifth term is (24).
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क्रम \(32,28,24,20,\ldots\) में पाँचवाँ पद क्या होगा?
What will be the fifth term in \(32,28,24,20,\ldots\)?
#sequences
#decreasing
#term_finding
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A (18)
B (17)
C (16)
D (15)
Explanation opens after your attempt
Explanation
Simple Explanation
हर बार (4) घट रहा है। पाँचवाँ पद (16) है। / Each term decreases by (4). The fifth term is (16).
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क्रम \(1,6,11,16,\ldots\) का अगला पद क्या है?
What is the next term of \(1,6,11,16,\ldots\)?
#sequences
#pattern
#next_term
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A (19)
B (20)
C (21)
D (22)
Explanation opens after your attempt
Explanation
Simple Explanation
हर बार (5) बढ़ रहा है। अगला पद (21) है। / Each term increases by (5). The next term is (21).
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क्रम \(70,65,60,55,\ldots\) का अगला पद क्या होगा?
What will be the next term of \(70,65,60,55,\ldots\)?
#sequences
#decreasing
#pattern
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? Hint Small clue
A (45)
B (50)
C (52)
D (54)
Explanation opens after your attempt
Explanation
Simple Explanation
हर बार (5) घट रहा है। अगला पद (50) है। / Each term decreases by (5). The next term is (50).
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क्रम \(3,8,13,18,\ldots\) में पाँचवाँ पद क्या है?
What is the fifth term in \(3,8,13,18,\ldots\)?
#sequences
#term_finding
#pattern
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A (21)
B (22)
C (23)
D (24)
Explanation opens after your attempt
Explanation
Simple Explanation
हर बार (5) बढ़ रहा है। पाँचवाँ पद (23) है। / Each term increases by (5). The fifth term is (23).
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क्रम \(60,54,48,42,\ldots\) का अगला पद क्या है?
What is the next term of \(60,54,48,42,\ldots\)?
#sequences
#decreasing
#next_term
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A (38)
B (37)
C (36)
D (35)
Explanation opens after your attempt
Explanation
Simple Explanation
हर बार (6) घट रहा है। अगला पद (36) है। / Each term decreases by (6). The next term is (36).
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क्रम \(8,11,14,17,\ldots\) का छठा पद क्या है?
What is the sixth term of \(8,11,14,17,\ldots\)?
#sequences
#term_finding
#arithmetic
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A (20)
B (21)
C (22)
D (23)
Explanation opens after your attempt
Explanation
Simple Explanation
हर बार (3) बढ़ रहा है। छठा पद (23) है। / Each term increases by (3). The sixth term is (23).
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क्रम \(45,40,35,30,\ldots\) में पाँचवाँ पद क्या होगा?
What will be the fifth term in \(45,40,35,30,\ldots\)?
#sequences
#decreasing
#terms
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A (20)
B (25)
C (30)
D (35)
Explanation opens after your attempt
Explanation
Simple Explanation
हर बार (5) घट रहा है। पाँचवाँ पद (25) है। / Each term decreases by (5). The fifth term is (25).
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क्रम \(10,15,20,25,\ldots\) का अगला पद क्या है?
What is the next term of \(10,15,20,25,\ldots\)?
#sequences
#next_term
#pattern
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A (28)
B (29)
C (30)
D (31)
Explanation opens after your attempt
Explanation
Simple Explanation
हर बार (5) बढ़ रहा है। अगला पद (30) है। / Each term increases by (5). The next term is (30).
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क्रम \(26,24,22,20,\ldots\) का अगला पद क्या होगा?
What will be the next term of \(26,24,22,20,\ldots\)?
#sequences
#decreasing
#next_term
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A (16)
B (17)
C (18)
D (19)
Explanation opens after your attempt
Explanation
Simple Explanation
हर बार (2) घट रहा है। अगला पद (18) है। / Each term decreases by (2). The next term is (18).
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क्रम \(12,18,24,30,\ldots\) का पाँचवाँ पद क्या है?
What is the fifth term of \(12,18,24,30,\ldots\)?
#sequences
#term_finding
#pattern
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A (34)
B (35)
C (36)
D (37)
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Explanation
Simple Explanation
हर बार (6) बढ़ रहा है। पाँचवाँ पद (36) है। / Each term increases by (6). The fifth term is (36).
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क्रम \(81,72,63,54,\ldots\) का अगला पद क्या है?
What is the next term of \(81,72,63,54,\ldots\)?
#sequences
#decreasing
#pattern
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A (48)
B (47)
C (46)
D (45)
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Explanation
Simple Explanation
हर बार (9) घट रहा है। अगला पद (45) है। / Each term decreases by (9). The next term is (45).
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क्रम \(5,9,13,17,\ldots\) में छठा पद क्या है?
What is the sixth term of \(5,9,13,17,\ldots\)?
#sequences
#arithmetic
#terms
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A (21)
B (23)
C (25)
D (27)
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Explanation
Simple Explanation
हर बार (4) बढ़ रहा है। छठा पद (25) है। / Each term increases by (4). The sixth term is (25).
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क्रम \(33,30,27,24,\ldots\) का अगला पद क्या है?
What is the next term of \(33,30,27,24,\ldots\)?
#sequences
#decreasing
#next_term
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A (20)
B (21)
C (22)
D (23)
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Explanation
Simple Explanation
हर बार (3) घट रहा है। अगला पद (21) है। / Each term decreases by (3). The next term is (21).
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क्रम \(7,12,17,22,\ldots\) का पाँचवाँ पद क्या होगा?
What will be the fifth term of \(7,12,17,22,\ldots\)?
#sequences
#term_finding
#pattern
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A (25)
B (26)
C (27)
D (28)
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Explanation
Simple Explanation
हर बार (5) बढ़ रहा है। पाँचवाँ पद (27) है। / Each term increases by (5). The fifth term is (27).
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क्रम \(48,42,36,30,\ldots\) का अगला पद क्या है?
What is the next term of \(48,42,36,30,\ldots\)?
#sequences
#decreasing
#next_term
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A (22)
B (23)
C (24)
D (25)
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Explanation
Simple Explanation
हर बार (6) घट रहा है। अगला पद (24) है। / Each term decreases by (6). The next term is (24).
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क्रम \(14,18,22,26,\ldots\) का छठा पद क्या है?
What is the sixth term of \(14,18,22,26,\ldots\)?
#sequences
#term_finding
#arithmetic
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A (30)
B (32)
C (34)
D (36)
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Explanation
Simple Explanation
हर बार (4) बढ़ रहा है। छठा पद (34) है। / Each term increases by (4). The sixth term is (34).
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क्रम \(20,18,16,14,\ldots\) का अगला पद क्या होगा?
What will be the next term of \(20,18,16,14,\ldots\)?
#sequences
#decreasing
#pattern
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A (10)
B (11)
C (12)
D (13)
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Explanation
Simple Explanation
हर बार (2) घट रहा है। अगला पद (12) है। / Each term decreases by (2). The next term is (12).
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क्रम \(9,12,15,18,\ldots\) का पाँचवाँ पद क्या है?
What is the fifth term of \(9,12,15,18,\ldots\)?
#sequences
#term_finding
#pattern
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A (20)
B (21)
C (22)
D (23)
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Explanation
Simple Explanation
हर बार (3) बढ़ रहा है। पाँचवाँ पद (21) है। / Each term increases by (3). The fifth term is (21).
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क्रम \(72,64,56,48,\ldots\) का अगला पद क्या है?
What is the next term of \(72,64,56,48,\ldots\)?
#sequences
#decreasing
#next_term
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A (38)
B (39)
C (40)
D (41)
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Explanation
Simple Explanation
हर बार (8) घट रहा है। अगला पद (40) है। / Each term decreases by (8). The next term is (40).
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क्रम \(16,20,24,28,\ldots\) का पाँचवाँ पद क्या होगा?
What will be the fifth term of \(16,20,24,28,\ldots\)?
#sequences
#term_finding
#arithmetic
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A (30)
B (31)
C (32)
D (33)
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Explanation
Simple Explanation
हर बार (4) बढ़ रहा है। पाँचवाँ पद (32) है। / Each term increases by (4). The fifth term is (32).
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क्रम \(54,48,42,36,\ldots\) का अगला पद क्या होगा?
What will be the next term of \(54,48,42,36,\ldots\)?
#sequences
#decreasing
#next_term
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A (28)
B (29)
C (30)
D (31)
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Explanation
Simple Explanation
हर बार (6) घट रहा है। अगला पद (30) है। / Each term decreases by (6). The next term is (30).
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क्रम \(3,6,9,12,\ldots\) का अगला पद क्या है?
What is the next term of the sequence \(3,6,9,12,\ldots\)?
#sequences
#next_term
#arithmetic_pattern
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A (15)
B (16)
C (18)
D (21)
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Explanation
Simple Explanation
हर बार (3) जोड़ा जा रहा है। अंतर देखकर अगला पद निकालें। / Each term increases by (3). Find the next term by checking the difference.
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क्रम \(25,22,19,16,\ldots\) में अगला पद क्या होगा?
What will be the next term in \(25,22,19,16,\ldots\)?
#sequences
#decreasing_sequence
#next_term
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A (14)
B (13)
C (12)
D (11)
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Explanation
Simple Explanation
हर बार (3) घट रहा है। इसलिए अगला पद (13) है। / Each term decreases by (3). So the next term is (13).
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क्रम \(2,4,8,16,\ldots\) का अगला पद क्या है?
What is the next term of \(2,4,8,16,\ldots\)?
#sequences
#doubling_pattern
#next_term
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A (24)
B (30)
C (32)
D (36)
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Explanation
Simple Explanation
हर पद पिछले पद का (2) गुना है। इसलिए अगला पद (32) है। / Each term is (2) times the previous term. Therefore the next term is (32).
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क्रम \(1,4,9,16,\ldots\) में अगला पद क्या होगा?
What will be the next term in \(1,4,9,16,\ldots\)?
#sequences
#square_numbers
#next_term
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A (20)
B (22)
C (24)
D (25)
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Explanation
Simple Explanation
ये वर्ग संख्याएँ \(1^2,2^2,3^2,4^2\) हैं। अगला पद \(5^2=25\) होगा। / These are square numbers \(1^2,2^2,3^2,4^2\). The next term is \(5^2=25\).
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क्रम \(2,6,12,20,\ldots\) का अगला पद क्या है?
What is the next term of \(2,6,12,20,\ldots\)?
#sequences
#difference_pattern
#next_term
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A (30)
B (28)
C (26)
D (24)
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Explanation
Simple Explanation
अंतर (4,6,8) है और अगला अंतर (10) होगा। इसलिए अगला पद (30) है। / The differences are (4,6,8), so the next difference is (10). Hence the next term is (30).
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क्रम \(5,10,20,40,\ldots\) में अगला पद क्या होगा?
What will be the next term in \(5,10,20,40,\ldots\)?
#sequences
#multiplicative_pattern
#next_term
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A (60)
B (80)
C (90)
D (100)
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Explanation
Simple Explanation
हर बार पद (2) गुना हो रहा है। (40) का (2) गुना (80) है। / Each term is doubled. Twice (40) is (80).
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क्रम \(64,32,16,8,\ldots\) का अगला पद क्या है?
What is the next term of \(64,32,16,8,\ldots\)?
#sequences
#halving_pattern
#next_term
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A (6)
B (5)
C (4)
D (2)
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Explanation
Simple Explanation
हर पद पिछले पद का आधा है। (8) का आधा (4) है। / Each term is half of the previous term. Half of (8) is (4).
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क्रम \(10,13,16,\Box,22\) में खाली स्थान का मान क्या है?
What is the missing value in \(10,13,16,\Box,22\)?
#sequences
#missing_term
#arithmetic_pattern
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A (17)
B (18)
C (20)
D (19)
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Explanation
Simple Explanation
हर बार (3) बढ़ रहा है। (16) के बाद (19) आएगा। / Each term increases by (3). After (16), the term is (19).
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क्रम \(7,14,\Box,28,35\) में खाली स्थान पर कौन सा पद आएगा?
Which term will come in the blank in \(7,14,\Box,28,35\)?
#sequences
#missing_term
#multiples
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A (21)
B (20)
C (18)
D (24)
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Explanation
Simple Explanation
यह (7) के गुणजों का क्रम है। (14) के बाद (21) आता है। / This is a sequence of multiples of (7). After (14), (21) comes.
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क्रम \(40,\Box,30,25,20\) में खाली स्थान का मान क्या है?
What is the missing value in \(40,\Box,30,25,20\)?
#sequences
#missing_term
#decreasing_sequence
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A (38)
B (35)
C (34)
D (32)
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Explanation
Simple Explanation
हर बार (5) घट रहा है। (40) के बाद (35) होगा। / Each term decreases by (5). After (40), the term is (35).
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यदि क्रम का नियम \(a_n=2n\) है, तो \(a_4\) क्या होगा?
If the sequence rule is \(a_n=2n\), what is \(a_4\)?
#sequences
#nth_term
#substitution
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A (6)
B (7)
C (8)
D (10)
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Explanation
Simple Explanation
(n=4) रखने पर (a_4=2(4)=8) मिलता है। नियम में (n) का सही मान रखें। / Putting (n=4), (a_4=2(4)=8). Substitute the correct value of (n).
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यदि \(a_n=n+5\) है, तो \(a_3\) का मान क्या है?
If \(a_n=n+5\), what is the value of \(a_3\)?
#sequences
#nth_term
#evaluation
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A (6)
B (7)
C (9)
D (8)
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Explanation
Simple Explanation
(n=3) रखने पर \(a_3=3+5=8\) है। पहले नियम को ध्यान से पढ़ें। / Putting (n=3), \(a_3=3+5=8\). Read the rule carefully first.
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यदि \(a_n=3n-1\) है, तो \(a_5\) क्या होगा?
If \(a_n=3n-1\), what will \(a_5\) be?
#sequences
#nth_term
#linear_rule
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A (14)
B (15)
C (16)
D (12)
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Explanation
Simple Explanation
(n=5) रखने पर (3(5)-1=14) मिलता है। गुणा पहले करें। / Putting (n=5), (3(5)-1=14). Do multiplication first.
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यदि \(a_n=4n+2\) है, तो पहला पद \(a_1\) क्या है?
If \(a_n=4n+2\), what is the first term \(a_1\)?
#sequences
#first_term
#nth_term
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A (4)
B (6)
C (8)
D (10)
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Explanation
Simple Explanation
(n=1) रखने पर (a_1=4(1)+2=6) है। पहला पद निकालने के लिए (n=1) रखें। / Putting (n=1), (a_1=4(1)+2=6). Use (n=1) for the first term.
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क्रम \(3,8,13,18,\ldots\) में समान अंतर क्या है?
What is the common difference in \(3,8,13,18,\ldots\)?
#sequences
#common_difference
#arithmetic_sequence
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A (3)
B (4)
C (5)
D (8)
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Explanation
Simple Explanation
लगातार पदों का अंतर (8-3=5) है। समान अंतर के लिए दो पास-पास के पद घटाएँ। / The difference between consecutive terms is (8-3=5). Subtract nearby terms to find the common difference.
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क्रम \(50,44,38,32,\ldots\) में समान अंतर क्या है?
What is the common difference in \(50,44,38,32,\ldots\)?
#sequences
#common_difference
#decreasing_sequence
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A (-6)
B (-5)
C (6)
D (5)
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Explanation
Simple Explanation
हर बार (6) घट रहा है, इसलिए समान अंतर (-6) है। घटते क्रम में अंतर ऋणात्मक होता है। / Each term decreases by (6), so the common difference is (-6). A decreasing arithmetic sequence has a negative difference.
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क्रम \(2,5,10,17,\ldots\) में लगातार अंतरों का क्रम क्या है?
What is the sequence of consecutive differences in \(2,5,10,17,\ldots\)?
#sequences
#differences
#pattern_analysis
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A (2,4,6)
B (3,5,7)
C (4,6,8)
D (5,7,9)
Explanation opens after your attempt
Correct Answer
B. (3,5,7)
Explanation
Simple Explanation
अंतर (5-2=3), (10-5=5), (17-10=7) हैं। पहले अंतर निकालें, फिर पैटर्न देखें। / The differences are (5-2=3), (10-5=5), and (17-10=7). Find differences first, then observe the pattern.
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क्रम \(1,1,2,3,5,\ldots\) का अगला पद क्या है?
What is the next term of \(1,1,2,3,5,\ldots\)?
#sequences
#fibonacci_pattern
#next_term
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A (6)
B (7)
C (8)
D (9)
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Explanation
Simple Explanation
हर नया पद पिछले दो पदों का योग है। (3+5=8) अगला पद है। / Each new term is the sum of the previous two terms. (3+5=8) is the next term.
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क्रम \(2,3,5,8,13,\ldots\) में अगला पद क्या होगा?
What will be the next term in \(2,3,5,8,13,\ldots\)?
#sequences
#sum_pattern
#next_term
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A (18)
B (19)
C (20)
D (21)
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Explanation
Simple Explanation
हर पद पिछले दो पदों का योग है। (8+13=21) होगा। / Each term is the sum of the previous two terms. (8+13=21).
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क्रम \(1,2,4,7,11,\ldots\) का अगला पद क्या है?
What is the next term of \(1,2,4,7,11,\ldots\)?
#sequences
#increasing_difference
#next_term
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A (16)
B (15)
C (14)
D (13)
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Explanation
Simple Explanation
अंतर (1,2,3,4) हैं, इसलिए अगला अंतर (5) होगा। (11+5=16) है। / The differences are (1,2,3,4), so the next difference is (5). (11+5=16).
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क्रम \(20,19,17,14,10,\ldots\) का अगला पद क्या होगा?
What will be the next term of \(20,19,17,14,10,\ldots\)?
#sequences
#decreasing_difference
#next_term
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A (7)
B (5)
C (6)
D (4)
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Explanation
Simple Explanation
घटाव (1,2,3,4) है और अगला घटाव (5) होगा। (10-5=5) है। / The subtractions are (1,2,3,4), so the next subtraction is (5). (10-5=5).
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क्रम \(1,8,27,64,\ldots\) का अगला पद क्या है?
What is the next term of \(1,8,27,64,\ldots\)?
#sequences
#cube_numbers
#next_term
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A (100)
B (121)
C (125)
D (144)
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Explanation
Simple Explanation
ये घन संख्याएँ \(1^3,2^3,3^3,4^3\) हैं। अगला पद \(5^3=125\) है। / These are cube numbers \(1^3,2^3,3^3,4^3\). The next term is \(5^3=125\).
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क्रम \(1,3,6,10,\ldots\) में अगला पद क्या है?
What is the next term in \(1,3,6,10,\ldots\)?
#sequences
#triangular_numbers
#next_term
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A (12)
B (13)
C (14)
D (15)
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Explanation
Simple Explanation
अंतर (2,3,4) हैं और अगला अंतर (5) है। (10+5=15) होगा। / The differences are (2,3,4), and the next difference is (5). (10+5=15).
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क्रम \(3,6,12,24,\ldots\) में प्रत्येक पद पिछले पद से कैसे प्राप्त होता है?
How is each term obtained from the previous term in \(3,6,12,24,\ldots\)?
#sequences
#rule_identification
#multiplication
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A (2) से गुणा करके / By multiplying by (2)
B (3) जोड़कर / By adding (3)
C (6) जोड़कर / By adding (6)
D (2) घटाकर / By subtracting (2)
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Correct Answer
A. (2) से गुणा करके / By multiplying by (2)
Explanation
Simple Explanation
हर पद पिछले पद का (2) गुना है। नियम पहचानने के लिए पास-पास के पदों की तुलना करें। / Each term is (2) times the previous term. Compare nearby terms to identify the rule.
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क्रम \(36,18,9,\ldots\) में प्रत्येक पद पिछले पद से कैसे प्राप्त होता है?
How is each term obtained from the previous term in \(36,18,9,\ldots\)?
#sequences
#rule_identification
#division
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A (2) से गुणा करके / By multiplying by (2)
B (2) से भाग देकर / By dividing by (2)
C (9) घटाकर / By subtracting (9)
D (3) जोड़कर / By adding (3)
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Correct Answer
B. (2) से भाग देकर / By dividing by (2)
Explanation
Simple Explanation
हर पद पिछले पद का आधा है। इसलिए नियम (2) से भाग देना है। / Each term is half of the previous term. So the rule is division by (2).
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कौन सा क्रम समान अंतर वाला है?
Which sequence has a common difference?
#sequences
#common_difference
#arithmetic_sequence
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A (2,4,8,16)
B (1,3,6,10)
C (5,9,13,17)
D (3,6,12,24)
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Correct Answer
C. (5,9,13,17)
Explanation
Simple Explanation
(5,9,13,17) में हर बार (4) जुड़ता है। समान अंतर वाले क्रम को अंकगणितीय क्रम कहा जाता है। / In (5,9,13,17), (4) is added each time. A sequence with common difference is arithmetic.
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कौन सा क्रम हर बार (3) घटाकर बनाया गया है?
Which sequence is formed by subtracting (3) each time?
#sequences
#decreasing_sequence
#rule_identification
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A (18,15,12,9)
B (18,14,10,6)
C (18,16,14,12)
D (18,12,6,0)
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Correct Answer
A. (18,15,12,9)
Explanation
Simple Explanation
(18,15,12,9) में हर बार (3) घटता है। घटते क्रम में अंतर को ध्यान से देखें। / In (18,15,12,9), (3) is subtracted each time. Check the difference carefully in decreasing sequences.
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कौन सा क्रम वर्ग संख्याओं का है?
Which sequence is a sequence of square numbers?
#sequences
#square_numbers
#pattern_identification
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A (1,2,3,4)
B (2,4,6,8)
C (3,6,9,12)
D (1,4,9,16)
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Correct Answer
D. (1,4,9,16)
Explanation
Simple Explanation
(1,4,9,16) क्रमशः \(1^2,2^2,3^2,4^2\) हैं। वर्ग संख्याएँ पहचानना आसान पैटर्न है। / (1,4,9,16) are \(1^2,2^2,3^2,4^2\). Square numbers form a common pattern.
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कौन सा क्रम विषम संख्याओं का है?
Which sequence is a sequence of odd numbers?
#sequences
#odd_numbers
#pattern_identification
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A (2,4,6,8)
B (1,3,5,7)
C (4,8,12,16)
D (10,20,30,40)
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Correct Answer
B. (1,3,5,7)
Explanation
Simple Explanation
(1,3,5,7) सभी विषम संख्याएँ हैं। क्रम की प्रकृति पहचानने के लिए पदों को देखें। / (1,3,5,7) are all odd numbers. Look at the terms to identify the type of sequence.
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कौन सा क्रम सम संख्याओं का है?
Which sequence is a sequence of even numbers?
#sequences
#even_numbers
#pattern_identification
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A (1,3,5,7)
B (3,6,9,12)
C (2,4,6,8)
D (5,10,15,20)
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Correct Answer
C. (2,4,6,8)
Explanation
Simple Explanation
(2,4,6,8) सभी सम संख्याएँ हैं। सम संख्या (2) से विभाज्य होती है। / (2,4,6,8) are all even numbers. An even number is divisible by (2).
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क्रम \(a_n=n^2\) के अनुसार \(a_4\) क्या होगा?
According to the sequence \(a_n=n^2\), what is \(a_4\)?
#sequences
#nth_term
#square_rule
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A (8)
B (12)
C (16)
D (20)
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Explanation
Simple Explanation
(n=4) रखने पर \(a_4=4^2=16\) है। वर्ग नियम में (n) का वर्ग लें। / Putting (n=4), \(a_4=4^2=16\). In a square rule, square the value of (n).
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क्रम \(a_n=5n\) के अनुसार \(a_6\) क्या होगा?
According to \(a_n=5n\), what is \(a_6\)?
#sequences
#nth_term
#multiples
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A (25)
B (30)
C (35)
D (40)
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Explanation
Simple Explanation
(n=6) रखने पर (a_6=5(6)=30) है। सीधे प्रतिस्थापन करें। / Putting (n=6), (a_6=5(6)=30). Substitute directly.
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यदि \(a_n=10-n\) है, तो \(a_4\) का मान क्या है?
If \(a_n=10-n\), what is the value of \(a_4\)?
#sequences
#nth_term
#subtraction_rule
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A (4)
B (5)
C (6)
D (7)
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Explanation
Simple Explanation
(n=4) रखने पर \(a_4=10-4=6\) है। घटाव में क्रम का ध्यान रखें। / Putting (n=4), \(a_4=10-4=6\). Be careful with subtraction order.
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यदि \(a_n=2n+1\) है, तो \(a_5\) क्या है?
If \(a_n=2n+1\), what is \(a_5\)?
#sequences
#nth_term
#linear_rule
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A (9)
B (10)
C (11)
D (12)
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Explanation
Simple Explanation
(n=5) रखने पर (a_5=2(5)+1=11) है। पहले गुणा फिर जोड़ करें। / Putting (n=5), (a_5=2(5)+1=11). Multiply first, then add.
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क्रम \(4,7,10,13,\ldots\) का (7)वाँ पद क्या है?
What is the (7)th term of \(4,7,10,13,\ldots\)?
#sequences
#term_finding
#arithmetic_sequence
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A (19)
B (20)
C (21)
D (22)
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Explanation
Simple Explanation
हर बार (3) बढ़ता है। (4) से शुरू करके (7)वाँ पद (22) होगा। / Each term increases by (3). Starting from (4), the (7)th term is (22).
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क्रम \(100,95,90,85,\ldots\) का (6)वाँ पद क्या है?
What is the (6)th term of \(100,95,90,85,\ldots\)?
#sequences
#decreasing_sequence
#term_finding
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A (75)
B (70)
C (80)
D (65)
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Explanation
Simple Explanation
हर बार (5) घटता है। (6)वाँ पद (75) है। / Each term decreases by (5). The (6)th term is (75).
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क्रम \(2,6,10,14,\ldots\) में (18) कौन से स्थान पर है?
In the sequence \(2,6,10,14,\ldots\), at which position is (18)?
#sequences
#position_of_term
#counting
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A (3)रा / (3)rd
B (4)था / (4)th
C (5)वाँ / (5)th
D (6)ठा / (6)th
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Correct Answer
C. (5)वाँ / (5)th
Explanation
Simple Explanation
क्रम (2,6,10,14,18) है। इसलिए (18) पाँचवाँ पद है। / The sequence is (2,6,10,14,18). So (18) is the fifth term.
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क्रम \(50,45,40,35,\ldots\) में (30) कौन सा पद है?
In \(50,45,40,35,\ldots\), which term is (30)?
#sequences
#position_of_term
#decreasing_sequence
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A (3)रा / (3)rd
B (4)था / (4)th
C (5)वाँ / (5)th
D (6)ठा / (6)th
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Correct Answer
C. (5)वाँ / (5)th
Explanation
Simple Explanation
क्रम (50,45,40,35,30) है। इसलिए (30) पाँचवाँ पद है। / The sequence is (50,45,40,35,30). Therefore (30) is the fifth term.
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क्रम \(6,12,18,24,\ldots\) में (36) कौन सा पद है?
In \(6,12,18,24,\ldots\), which term is (36)?
#sequences
#position_of_term
#multiples
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A (4)था / (4)th
B (5)वाँ / (5)th
C (6)ठा / (6)th
D (7)वाँ / (7)th
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Correct Answer
C. (6)ठा / (6)th
Explanation
Simple Explanation
क्रम में \(36=6\times6\) है। इसलिए यह छठा पद है। / Here \(36=6\times6\). So it is the sixth term.
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किस क्रम में (12) तीसरा पद है?
In which sequence is (12) the third term?
#sequences
#term_position
#counting
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A (4,8,12,16)
B (12,16,20,24)
C (6,12,18,24)
D (3,6,9,12)
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Correct Answer
A. (4,8,12,16)
Explanation
Simple Explanation
(4,8,12,16) में तीसरा पद (12) है। हमेशा पदों को क्रम से गिनें। / In (4,8,12,16), the third term is (12). Always count terms in order.
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कौन सा क्रम (5) से शुरू होकर हर बार (4) जोड़ता है?
Which sequence starts with (5) and adds (4) each time?
#sequences
#rule_to_sequence
#arithmetic_pattern
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A (5,8,11,14)
B (5,9,13,17)
C (4,8,12,16)
D (9,13,17,21)
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Correct Answer
B. (5,9,13,17)
Explanation
Simple Explanation
(5,9,13,17) में हर बार (4) जुड़ता है। पहले पद और अंतर दोनों जाँचें। / In (5,9,13,17), (4) is added each time. Check both the first term and the difference.
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कौन सा क्रम (30) से शुरू होकर हर बार (6) घटाता है?
Which sequence starts with (30) and subtracts (6) each time?
#sequences
#rule_to_sequence
#decreasing_sequence
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A (30,24,18,12)
B (30,25,20,15)
C (30,26,22,18)
D (30,20,10,0)
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Correct Answer
A. (30,24,18,12)
Explanation
Simple Explanation
(30,24,18,12) में हर बार (6) घटता है। घटते क्रम में अंतर ऋणात्मक होता है। / In (30,24,18,12), (6) is subtracted each time. In decreasing sequences, the difference is negative.
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नियम \(a_n=n+2\) से बनने वाले पहले चार पद कौन से हैं?
What are the first four terms formed by \(a_n=n+2\)?
#sequences
#nth_term
#first_terms
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A (1,2,3,4)
B (2,3,4,5)
C (3,4,5,6)
D (4,5,6,7)
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Correct Answer
C. (3,4,5,6)
Explanation
Simple Explanation
(n=1,2,3,4) रखने पर (3,4,5,6) मिलते हैं। पहले चार पदों के लिए (n=1) से शुरू करें। / Putting (n=1,2,3,4) gives (3,4,5,6). Start with (n=1) for the first four terms.
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नियम \(a_n=2n-1\) से बनने वाले पहले चार पद कौन से हैं?
What are the first four terms formed by \(a_n=2n-1\)?
#sequences
#nth_term
#odd_numbers
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A (1,3,5,7)
B (2,4,6,8)
C (3,5,7,9)
D (1,2,3,4)
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Correct Answer
A. (1,3,5,7)
Explanation
Simple Explanation
(n=1,2,3,4) रखने पर (1,3,5,7) मिलते हैं। यह विषम संख्याओं का क्रम है। / Putting (n=1,2,3,4) gives (1,3,5,7). This is a sequence of odd numbers.
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नियम \(a_n=3n\) से बनने वाले पहले चार पद कौन से हैं?
What are the first four terms formed by \(a_n=3n\)?
#sequences
#nth_term
#multiples
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A (1,3,5,7)
B (3,6,9,12)
C (2,4,6,8)
D (4,7,10,13)
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Correct Answer
B. (3,6,9,12)
Explanation
Simple Explanation
(n=1,2,3,4) रखने पर (3,6,9,12) मिलते हैं। ये (3) के गुणज हैं। / Putting (n=1,2,3,4) gives (3,6,9,12). These are multiples of (3).
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नियम \(a_n=n^2\) से बनने वाले पहले चार पद कौन से हैं?
What are the first four terms formed by \(a_n=n^2\)?
#sequences
#nth_term
#square_numbers
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A (1,2,3,4)
B (2,4,6,8)
C (1,4,9,16)
D (1,3,6,10)
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Correct Answer
C. (1,4,9,16)
Explanation
Simple Explanation
\(1^2,2^2,3^2,4^2\) से (1,4,9,16) मिलते हैं। वर्ग नियम में हर (n) का वर्ग लें। / \(1^2,2^2,3^2,4^2\) give (1,4,9,16). Square each (n) in a square rule.
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नियम \(a_n=20-2n\) से पहला पद \(a_1\) क्या होगा?
Using \(a_n=20-2n\), what will the first term \(a_1\) be?
#sequences
#first_term
#nth_term
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A (16)
B (17)
C (18)
D (20)
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Explanation
Simple Explanation
(n=1) रखने पर \(a_1=20-2=18\) है। पहला पद हमेशा (n=1) से मिलता है। / Putting (n=1), \(a_1=20-2=18\). The first term is found by using (n=1).
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क्रम \(12,15,18,21,\ldots\) में \(a_2\) क्या है?
In the sequence \(12,15,18,21,\ldots\), what is \(a_2\)?
#sequences
#notation
#second_term
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A (12)
B (15)
C (18)
D (21)
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Explanation
Simple Explanation
\(a_2\) का अर्थ दूसरा पद है। इस क्रम में दूसरा पद (15) है। / \(a_2\) means the second term. In this sequence, the second term is (15).
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क्रम \(9,18,27,36,\ldots\) में \(a_4\) क्या है?
In the sequence \(9,18,27,36,\ldots\), what is \(a_4\)?
#sequences
#notation
#fourth_term
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A (18)
B (27)
C (36)
D (45)
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Explanation
Simple Explanation
\(a_4\) चौथे पद को दर्शाता है। यहाँ चौथा पद (36) है। / \(a_4\) represents the fourth term. Here the fourth term is (36).
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क्रम \(5,15,25,35,\ldots\) में \(a_1\) क्या है?
In the sequence \(5,15,25,35,\ldots\), what is \(a_1\)?
#sequences
#notation
#first_term
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A (5)
B (15)
C (25)
D (35)
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Explanation
Simple Explanation
\(a_1\) पहला पद होता है। इस क्रम में पहला पद (5) है। / \(a_1\) is the first term. In this sequence, the first term is (5).
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क्रम \(4,7,10,13,\ldots\) का अगला पद क्या है?
What is the next term of the sequence \(4,7,10,13,\ldots\)?
#sequences
#next_term
#arithmetic_pattern
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A (16)
B (17)
C (18)
D (19)
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Explanation
Simple Explanation
हर बार (3) जोड़ा जा रहा है। अगला पद निकालने के लिए अंतिम पद में वही अंतर जोड़ें। / Each term increases by (3). Add the same difference to the last term to get the next term.
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क्रम \(60,55,50,45,\ldots\) का अगला पद क्या होगा?
What will be the next term of \(60,55,50,45,\ldots\)?
#sequences
#decreasing_sequence
#next_term
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A (35)
B (40)
C (45)
D (50)
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Explanation
Simple Explanation
हर बार (5) घट रहा है। इसलिए (45-5=40) अगला पद है। / Each term decreases by (5). So (45-5=40) is the next term.
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क्रम \(3,9,27,81,\ldots\) में अगला पद क्या है?
What is the next term in \(3,9,27,81,\ldots\)?
#sequences
#multiplicative_pattern
#next_term
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A (162)
B (216)
C (243)
D (324)
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Explanation
Simple Explanation
हर पद पिछले पद का (3) गुना है। \(81\times3=243\) होगा। / Each term is (3) times the previous term. \(81\times3=243\).
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क्रम \(1,5,9,13,\ldots\) का अगला पद क्या होगा?
What will be the next term of \(1,5,9,13,\ldots\)?
#sequences
#next_term
#common_difference
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A (14)
B (15)
C (16)
D (17)
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Explanation
Simple Explanation
हर बार (4) बढ़ रहा है। इसलिए (13+4=17) है। / Each term increases by (4). Therefore (13+4=17).
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क्रम \(6,12,18,\Box,30\) में खाली स्थान का मान क्या है?
What is the missing value in \(6,12,18,\Box,30\)?
#sequences
#missing_term
#arithmetic_sequence
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A (24)
B (22)
C (20)
D (26)
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Explanation
Simple Explanation
हर बार (6) जोड़ा जा रहा है। (18) के बाद (24) आएगा। / Each term increases by (6). After (18), (24) comes.
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क्रम \(100,90,\Box,70,60\) में खाली स्थान पर कौन सा पद आएगा?
Which term will come in the blank in \(100,90,\Box,70,60\)?
#sequences
#missing_term
#decreasing_sequence
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A (85)
B (80)
C (75)
D (70)
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Explanation
Simple Explanation
हर बार (10) घट रहा है। (90) के बाद (80) आएगा। / Each term decreases by (10). After (90), (80) comes.
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यदि क्रम का नियम \(a_n=4n\) है, तो \(a_5\) क्या होगा?
If the sequence rule is \(a_n=4n\), what is \(a_5\)?
#sequences
#nth_term
#substitution
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A (16)
B (18)
C (20)
D (24)
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Explanation
Simple Explanation
(n=5) रखने पर (a_5=4(5)=20) है। नियम में सही स्थान संख्या रखें। / Putting (n=5), (a_5=4(5)=20). Substitute the correct position number in the rule.
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यदि \(a_n=n^2+1\) है, तो \(a_3\) का मान क्या है?
If \(a_n=n^2+1\), what is the value of \(a_3\)?
#sequences
#nth_term
#square_rule
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A (8)
B (9)
C (11)
D (10)
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Explanation
Simple Explanation
(n=3) रखने पर \(a_3=3^2+1=10\) है। पहले वर्ग निकालें, फिर जोड़ करें। / Putting (n=3), \(a_3=3^2+1=10\). Square first, then add.
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क्रम \(11,16,21,26,\ldots\) में समान अंतर क्या है?
What is the common difference in \(11,16,21,26,\ldots\)?
#sequences
#common_difference
#arithmetic_sequence
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A (5)
B (6)
C (7)
D (4)
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Explanation
Simple Explanation
लगातार पदों का अंतर (16-11=5) है। समान अंतर के लिए पास-पास के दो पद घटाएँ। / The difference between consecutive terms is (16-11=5). Subtract nearby terms to find the common difference.
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क्रम \(42,36,30,24,\ldots\) में समान अंतर क्या है?
What is the common difference in \(42,36,30,24,\ldots\)?
#sequences
#common_difference
#decreasing_sequence
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A (-4)
B (-6)
C (6)
D (4)
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Explanation
Simple Explanation
हर बार (6) घट रहा है। इसलिए समान अंतर (-6) है। / Each term decreases by (6). Therefore the common difference is (-6).
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क्रम \(2,6,18,54,\ldots\) में प्रत्येक पद पिछले पद से कैसे प्राप्त होता है?
How is each term obtained from the previous term in \(2,6,18,54,\ldots\)?
#sequences
#rule_identification
#multiplication
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A (2) से गुणा करके / By multiplying by (2)
B (6) जोड़कर / By adding (6)
C (3) से गुणा करके / By multiplying by (3)
D (3) घटाकर / By subtracting (3)
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Correct Answer
C. (3) से गुणा करके / By multiplying by (3)
Explanation
Simple Explanation
हर पद पिछले पद का (3) गुना है। पास-पास के पदों की तुलना करके नियम पहचानें। / Each term is (3) times the previous term. Compare nearby terms to identify the rule.
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क्रम \(80,40,20,10,\ldots\) में प्रत्येक पद पिछले पद से कैसे प्राप्त होता है?
How is each term obtained from the previous term in \(80,40,20,10,\ldots\)?
#sequences
#division_pattern
#rule_identification
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A (10) घटाकर / By subtracting (10)
B (4) से भाग देकर / By dividing by (4)
C (2) से गुणा करके / By multiplying by (2)
D (2) से भाग देकर / By dividing by (2)
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Correct Answer
D. (2) से भाग देकर / By dividing by (2)
Explanation
Simple Explanation
हर पद पिछले पद का आधा है। इसलिए नियम (2) से भाग देना है। / Each term is half of the previous term. So the rule is dividing by (2).
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क्रम \(1,4,9,16,25,\ldots\) में अगला पद क्या होगा?
What will be the next term in \(1,4,9,16,25,\ldots\)?
#sequences
#square_numbers
#next_term
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A (36)
B (30)
C (35)
D (49)
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Explanation
Simple Explanation
ये वर्ग संख्याएँ हैं। \(25=5^2\) के बाद \(6^2=36\) आएगा। / These are square numbers. After \(25=5^2\), \(6^2=36\) comes.
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क्रम \(1,8,27,64,125,\ldots\) का अगला पद क्या है?
What is the next term of \(1,8,27,64,125,\ldots\)?
#sequences
#cube_numbers
#next_term
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A (180)
B (216)
C (225)
D (256)
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Explanation
Simple Explanation
ये घन संख्याएँ हैं। \(125=5^3\) के बाद \(6^3=216\) होगा। / These are cube numbers. After \(125=5^3\), \(6^3=216\) comes.
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क्रम \(2,4,7,11,16,\ldots\) का अगला पद क्या है?
What is the next term of \(2,4,7,11,16,\ldots\)?
#sequences
#increasing_difference
#next_term
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A (20)
B (21)
C (22)
D (23)
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Explanation
Simple Explanation
अंतर (2,3,4,5) हैं। अगला अंतर (6) होगा, इसलिए (16+6=22)। / The differences are (2,3,4,5). The next difference is (6), so (16+6=22).
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क्रम \(30,29,27,24,20,\ldots\) का अगला पद क्या होगा?
What will be the next term of \(30,29,27,24,20,\ldots\)?
#sequences
#decreasing_difference
#next_term
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A (17)
B (16)
C (14)
D (15)
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Explanation
Simple Explanation
घटाव (1,2,3,4) है और अगला घटाव (5) होगा। (20-5=15) है। / The subtractions are (1,2,3,4), so the next subtraction is (5). (20-5=15).
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क्रम \(1,1,2,3,5,8,\ldots\) का अगला पद क्या है?
What is the next term of \(1,1,2,3,5,8,\ldots\)?
#sequences
#fibonacci_pattern
#next_term
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A (13)
B (12)
C (14)
D (15)
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Explanation
Simple Explanation
हर नया पद पिछले दो पदों का योग है। (5+8=13) अगला पद है। / Each new term is the sum of the previous two terms. (5+8=13) is the next term.
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क्रम \(4,5,9,14,23,\ldots\) में अगला पद क्या होगा?
What will be the next term in \(4,5,9,14,23,\ldots\)?
#sequences
#sum_pattern
#next_term
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A (32)
B (37)
C (36)
D (34)
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Explanation
Simple Explanation
यहाँ (9=4+5), (14=5+9), (23=9+14) है। अगला पद (14+23=37) होगा। / Here (9=4+5), (14=5+9), and (23=9+14). The next term is (14+23=37).
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कौन सा क्रम हर बार (4) घटाकर बनाया गया है?
Which sequence is formed by subtracting (4) each time?
#sequences
#decreasing_sequence
#rule_identification
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A (32,28,24,20)
B (32,26,20,14)
C (32,30,28,26)
D (32,24,16,8)
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Correct Answer
A. (32,28,24,20)
Explanation
Simple Explanation
(32,28,24,20) में हर बार (4) घटता है। घटते क्रम में अंतर ध्यान से देखें। / In (32,28,24,20), (4) is subtracted each time. Check the difference carefully in decreasing sequences.
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कौन सा क्रम (6) के गुणजों का है?
Which sequence is a sequence of multiples of (6)?
#sequences
#multiples
#pattern_identification
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A (5,10,15,20)
B (6,12,18,24)
C (4,8,12,16)
D (7,14,21,28)
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Correct Answer
B. (6,12,18,24)
Explanation
Simple Explanation
(6,12,18,24) सभी (6) के गुणज हैं। गुणजों के क्रम में पहला पद और अंतर दोनों उपयोगी संकेत देते हैं। / (6,12,18,24) are all multiples of (6). In a multiples sequence, the first term and difference both help.
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कौन सा क्रम घन संख्याओं का है?
Which sequence is a sequence of cube numbers?
#sequences
#cube_numbers
#pattern_identification
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A (1,4,9,16)
B (2,4,8,16)
C (1,8,27,64)
D (1,3,6,10)
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Correct Answer
C. (1,8,27,64)
Explanation
Simple Explanation
(1,8,27,64) क्रमशः \(1^3,2^3,3^3,4^3\) हैं। घन संख्याओं को पहचानना आसान पैटर्न है। / (1,8,27,64) are \(1^3,2^3,3^3,4^3\). Cube numbers form a recognizable pattern.
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यदि \(a_n=3n+2\) है, तो \(a_4\) क्या होगा?
If \(a_n=3n+2\), what will \(a_4\) be?
#sequences
#nth_term
#linear_rule
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A (14)
B (12)
C (13)
D (15)
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Explanation
Simple Explanation
(n=4) रखने पर (a_4=3(4)+2=14) है। पहले गुणा करें, फिर जोड़ें। / Putting (n=4), (a_4=3(4)+2=14). Multiply first, then add.
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यदि \(a_n=2n^2\) है, तो \(a_3\) का मान क्या है?
If \(a_n=2n^2\), what is the value of \(a_3\)?
#sequences
#nth_term
#square_rule
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A (12)
B (18)
C (20)
D (24)
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Explanation
Simple Explanation
(n=3) रखने पर (a_3=2\(3^2\)=18) है। वर्ग को गुणा से पहले निकालें। / Putting (n=3), (a_3=2\(3^2\)=18). Square before multiplying.
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यदि \(a_n=12-n\) है, तो \(a_5\) क्या होगा?
If \(a_n=12-n\), what will \(a_5\) be?
#sequences
#nth_term
#subtraction_rule
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A (5)
B (6)
C (7)
D (8)
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Explanation
Simple Explanation
(n=5) रखने पर \(a_5=12-5=7\) है। घटाव में क्रम का ध्यान रखें। / Putting (n=5), \(a_5=12-5=7\). Be careful with the order in subtraction.
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यदि \(a_n=5n-2\) है, तो पहला पद \(a_1\) क्या है?
If \(a_n=5n-2\), what is the first term \(a_1\)?
#sequences
#first_term
#nth_term
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A (1)
B (2)
C (4)
D (3)
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Explanation
Simple Explanation
(n=1) रखने पर (a_1=5(1)-2=3) है। पहला पद निकालने के लिए (n=1) रखें। / Putting (n=1), (a_1=5(1)-2=3). Use (n=1) to find the first term.
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नियम \(a_n=4n-1\) से बनने वाले पहले चार पद कौन से हैं?
What are the first four terms formed by \(a_n=4n-1\)?
#sequences
#nth_term
#first_terms
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A (3,7,11,15)
B (4,8,12,16)
C (1,5,9,13)
D (5,9,13,17)
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Correct Answer
A. (3,7,11,15)
Explanation
Simple Explanation
(n=1,2,3,4) रखने पर (3,7,11,15) मिलते हैं। पहले चार पदों के लिए (n=1) से शुरू करें। / Putting (n=1,2,3,4) gives (3,7,11,15). Start with (n=1) for the first four terms.
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नियम \(a_n=n^2-1\) से बनने वाले पहले तीन पद कौन से हैं?
What are the first three terms formed by \(a_n=n^2-1\)?
#sequences
#nth_term
#first_terms
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A (1,4,9)
B (0,3,8)
C (2,5,10)
D (0,2,6)
Explanation opens after your attempt
Correct Answer
B. (0,3,8)
Explanation
Simple Explanation
(n=1,2,3) रखने पर (0,3,8) मिलते हैं। हर बार (n) का वर्ग लेकर (1) घटाएँ। / Putting (n=1,2,3) gives (0,3,8). Square (n) each time and subtract (1).
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नियम \(a_n=2^n\) से बनने वाले पहले चार पद कौन से हैं?
What are the first four terms formed by \(a_n=2^n\)?
#sequences
#nth_term
#power_sequence
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A (1,2,4,8)
B (2,3,4,5)
C (2,4,8,16)
D (4,8,16,32)
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Correct Answer
C. (2,4,8,16)
Explanation
Simple Explanation
(n=1,2,3,4) रखने पर (2,4,8,16) मिलते हैं। घात वाले नियम में (n) घात का स्थान है। / Putting (n=1,2,3,4) gives (2,4,8,16). In an exponent rule, (n) is the power position.
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क्रम \(8,12,16,20,\ldots\) का (6)वाँ पद क्या है?
What is the (6)th term of \(8,12,16,20,\ldots\)?
#sequences
#term_finding
#arithmetic_sequence
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A (24)
B (26)
C (30)
D (28)
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Explanation
Simple Explanation
हर बार (4) बढ़ता है। (8,12,16,20,24,28) में (6)वाँ पद (28) है। / Each term increases by (4). In (8,12,16,20,24,28), the (6)th term is (28).
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क्रम \(90,84,78,72,\ldots\) का (6)वाँ पद क्या है?
What is the (6)th term of \(90,84,78,72,\ldots\)?
#sequences
#decreasing_sequence
#term_finding
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A (60)
B (66)
C (62)
D (64)
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Explanation
Simple Explanation
हर बार (6) घटता है। (90,84,78,72,66,60) में (6)वाँ पद (60) है। / Each term decreases by (6). In (90,84,78,72,66,60), the (6)th term is (60).
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क्रम \(5,10,15,20,\ldots\) में (35) कौन सा पद है?
In \(5,10,15,20,\ldots\), which term is (35)?
#sequences
#position_of_term
#multiples
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A (6)ठा / (6)th
B (7)वाँ / (7)th
C (8)वाँ / (8)th
D (9)वाँ / (9)th
Explanation opens after your attempt
Correct Answer
B. (7)वाँ / (7)th
Explanation
Simple Explanation
यह (5) के गुणजों का क्रम है। \(35=5\times7\), इसलिए यह (7)वाँ पद है। / This is a sequence of multiples of (5). Since \(35=5\times7\), it is the (7)th term.
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क्रम \(3,7,11,15,\ldots\) में (19) कौन सा पद है?
In \(3,7,11,15,\ldots\), which term is (19)?
#sequences
#position_of_term
#arithmetic_sequence
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A (3)रा / (3)rd
B (4)था / (4)th
C (5)वाँ / (5)th
D (6)ठा / (6)th
Explanation opens after your attempt
Correct Answer
C. (5)वाँ / (5)th
Explanation
Simple Explanation
क्रम (3,7,11,15,19) है। इसलिए (19) पाँचवाँ पद है। / The sequence is (3,7,11,15,19). So (19) is the fifth term.
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क्रम \(48,44,40,36,\ldots\) में (32) कौन सा पद है?
In \(48,44,40,36,\ldots\), which term is (32)?
#sequences
#position_of_term
#decreasing_sequence
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A (3)रा / (3)rd
B (4)था / (4)th
C (6)ठा / (6)th
D (5)वाँ / (5)th
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Correct Answer
D. (5)वाँ / (5)th
Explanation
Simple Explanation
क्रम (48,44,40,36,32) है। इसलिए (32) पाँचवाँ पद है। / The sequence is (48,44,40,36,32). Therefore (32) is the fifth term.
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किस क्रम में (18) तीसरा पद है?
In which sequence is (18) the third term?
#sequences
#term_position
#counting
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A (6,12,18,24)
B (18,24,30,36)
C (9,18,27,36)
D (3,6,9,12)
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Correct Answer
A. (6,12,18,24)
Explanation
Simple Explanation
(6,12,18,24) में तीसरा पद (18) है। पदों को क्रम से गिनना जरूरी है। / In (6,12,18,24), the third term is (18). Counting terms in order is important.
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कौन सा क्रम (7) से शुरू होकर हर बार (5) जोड़ता है?
Which sequence starts with (7) and adds (5) each time?
#sequences
#rule_to_sequence
#arithmetic_pattern
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A (7,11,15,19)
B (7,12,17,22)
C (5,10,15,20)
D (12,17,22,27)
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Correct Answer
B. (7,12,17,22)
Explanation
Simple Explanation
(7,12,17,22) में हर बार (5) जोड़ा जाता है। पहले पद और अंतर दोनों जाँचें। / In (7,12,17,22), (5) is added each time. Check both the first term and the difference.
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कौन सा क्रम (64) से शुरू होकर हर बार (8) घटाता है?
Which sequence starts with (64) and subtracts (8) each time?
#sequences
#rule_to_sequence
#decreasing_sequence
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A (64,60,56,52)
B (64,50,36,22)
C (64,56,48,40)
D (64,48,32,16)
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Correct Answer
C. (64,56,48,40)
Explanation
Simple Explanation
(64,56,48,40) में हर बार (8) घटता है। नियम को लगातार पदों पर जाँचें। / In (64,56,48,40), (8) is subtracted each time. Check the rule on consecutive terms.
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क्रम \(13,17,21,25,\ldots\) में \(a_3\) क्या है?
In the sequence \(13,17,21,25,\ldots\), what is \(a_3\)?
#sequences
#notation
#third_term
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A (13)
B (17)
C (25)
D (21)
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Explanation
Simple Explanation
\(a_3\) तीसरे पद को दर्शाता है। इस क्रम में तीसरा पद (21) है। / \(a_3\) represents the third term. In this sequence, the third term is (21).
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क्रम \(70,63,56,49,\ldots\) में \(a_4\) क्या है?
In the sequence \(70,63,56,49,\ldots\), what is \(a_4\)?
#sequences
#notation
#fourth_term
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A (49)
B (56)
C (63)
D (70)
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Explanation
Simple Explanation
\(a_4\) चौथे पद को दर्शाता है। यहाँ चौथा पद (49) है। / \(a_4\) represents the fourth term. Here the fourth term is (49).
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क्रम \(2,11,20,29,\ldots\) में \(a_2\) क्या है?
In the sequence \(2,11,20,29,\ldots\), what is \(a_2\)?
#sequences
#notation
#second_term
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A (2)
B (11)
C (20)
D (29)
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Explanation
Simple Explanation
\(a_2\) दूसरा पद होता है। इस क्रम में दूसरा पद (11) है। / \(a_2\) is the second term. In this sequence, the second term is (11).
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क्रम \(18,24,30,36,\ldots\) में \(a_1\) क्या है?
In the sequence \(18,24,30,36,\ldots\), what is \(a_1\)?
#sequences
#notation
#first_term
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A (24)
B (30)
C (18)
D (36)
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Explanation
Simple Explanation
\(a_1\) पहला पद होता है। इस क्रम में पहला पद (18) है। / \(a_1\) is the first term. In this sequence, the first term is (18).
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क्रम \(1,3,6,10,15,\ldots\) का अगला पद क्या है?
What is the next term of \(1,3,6,10,15,\ldots\)?
#sequences
#triangular_numbers
#next_term
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A (18)
B (19)
C (20)
D (21)
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Explanation
Simple Explanation
अंतर (2,3,4,5) हैं। अगला अंतर (6) होगा, इसलिए (15+6=21)। / The differences are (2,3,4,5). The next difference is (6), so (15+6=21).
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क्रम \(2,5,10,17,26,\ldots\) का अगला पद क्या होगा?
What will be the next term of \(2,5,10,17,26,\ldots\)?
#sequences
#odd_difference
#next_term
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A (37)
B (35)
C (38)
D (40)
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Explanation
Simple Explanation
अंतर (3,5,7,9) हैं। अगला अंतर (11) होगा, इसलिए (26+11=37)। / The differences are (3,5,7,9). The next difference is (11), so (26+11=37).
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क्रम \(5,7,10,14,19,\ldots\) का अगला पद क्या है?
What is the next term of \(5,7,10,14,19,\ldots\)?
#sequences
#increasing_difference
#next_term
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A (23)
B (25)
C (24)
D (26)
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Explanation
Simple Explanation
अंतर (2,3,4,5) हैं। अगला अंतर (6) होगा, इसलिए (19+6=25)। / The differences are (2,3,4,5). The next difference is (6), so (19+6=25).
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क्रम \(120,60,30,15,\ldots\) में अगला पद क्या होगा?
What will be the next term in \(120,60,30,15,\ldots\)?
#sequences
#halving_pattern
#next_term
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A (5)
B (6)
C (7.5)
D (8)
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Explanation
Simple Explanation
हर पद पिछले पद का आधा है। (15) का आधा (7.5) है। / Each term is half of the previous term. Half of (15) is (7.5).
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यदि \(a_n=6n+1\) है, तो \(a_3\) क्या होगा?
If \(a_n=6n+1\), what will \(a_3\) be?
#sequences
#nth_term
#linear_rule
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A (16)
B (18)
C (20)
D (19)
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Explanation
Simple Explanation
(n=3) रखने पर (a_3=6(3)+1=19) है। नियम में (n) का मान सही रखें। / Putting (n=3), (a_3=6(3)+1=19). Substitute the value of (n) correctly.
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यदि \(a_n=3n^2\) है, तो \(a_2\) का मान क्या है?
If \(a_n=3n^2\), what is the value of \(a_2\)?
#sequences
#nth_term
#square_rule
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A (12)
B (6)
C (9)
D (18)
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Explanation
Simple Explanation
(n=2) रखने पर (a_2=3\(2^2\)=12) है। पहले (n) का वर्ग निकालें। / Putting (n=2), (a_2=3\(2^2\)=12). First square (n).
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नियम \(a_n=15-2n\) से बनने वाले पहले तीन पद कौन से हैं?
What are the first three terms formed by \(a_n=15-2n\)?
#sequences
#nth_term
#first_terms
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A (15,13,11)
B (13,11,9)
C (14,12,10)
D (12,10,8)
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Correct Answer
B. (13,11,9)
Explanation
Simple Explanation
(n=1,2,3) रखने पर (13,11,9) मिलते हैं। पहले तीन पदों के लिए (n=1) से शुरू करें। / Putting (n=1,2,3) gives (13,11,9). Start with (n=1) for the first three terms.
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क्रम \(10,20,40,80,\ldots\) का अगला पद क्या है?
What is the next term of \(10,20,40,80,\ldots\)?
#sequences
#doubling_pattern
#next_term
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A (120)
B (140)
C (160)
D (180)
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Explanation
Simple Explanation
हर पद पिछले पद का (2) गुना है। \(80\times2=160\) होगा। / Each term is (2) times the previous term. \(80\times2=160\).
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क्रम \(2,4,3,6,4,8,\ldots\) में अगला पद क्या होगा?
What will be the next term in \(2,4,3,6,4,8,\ldots\)?
#sequences
#pair_pattern
#next_term
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A (10)
B (6)
C (12)
D (5)
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Explanation
Simple Explanation
क्रम में जोड़े (2,4), (3,6), (4,8) हैं। इसलिए अगला पहला पद (5) होगा। / The pairs are (2,4), (3,6), and (4,8). So the next first term will be (5).
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क्रम \(1,3,7,9,13,\ldots\) का अगला पद क्या है?
What is the next term of \(1,3,7,9,13,\ldots\)?
#sequences
#alternating_difference
#next_term
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A (14)
B (15)
C (16)
D (17)
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Explanation
Simple Explanation
अंतर बारी-बारी से (2,4,2,4) हैं। इसलिए अगला अंतर (2) होगा और (13+2=15)। / The differences alternate as (2,4,2,4). So the next difference is (2), and (13+2=15).
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