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)
Explanation opens after your attempt
Step 1
Concept
Each term increases by (3). Find the next term by checking the difference.
Step 2
Why this answer is correct
The correct answer is A. (15). Each term increases by (3). Find the next term by checking the difference.
Step 3
Exam Tip
हर बार (3) जोड़ा जा रहा है। अंतर देखकर अगला पद निकालें।
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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)
Explanation opens after your attempt
Step 1
Concept
Each term decreases by (3). So the next term is (13).
Step 2
Why this answer is correct
The correct answer is B. (13). Each term decreases by (3). So the next term is (13).
Step 3
Exam Tip
हर बार (3) घट रहा है। इसलिए अगला पद (13) है।
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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)
Explanation opens after your attempt
Step 1
Concept
Each term is (2) times the previous term. Therefore the next term is (32).
Step 2
Why this answer is correct
The correct answer is C. (32). Each term is (2) times the previous term. Therefore the next term is (32).
Step 3
Exam Tip
हर पद पिछले पद का (2) गुना है। इसलिए अगला पद (32) है।
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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)
Explanation opens after your attempt
Step 1
Concept
These are square numbers \(1^2,2^2,3^2,4^2\). The next term is \(5^2=25\).
Step 2
Why this answer is correct
The correct answer is D. (25). These are square numbers \(1^2,2^2,3^2,4^2\). The next term is \(5^2=25\).
Step 3
Exam Tip
ये वर्ग संख्याएँ \(1^2,2^2,3^2,4^2\) हैं। अगला पद \(5^2=25\) होगा।
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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)
Explanation opens after your attempt
Step 1
Concept
The differences are (4,6,8), so the next difference is (10). Hence the next term is (30).
Step 2
Why this answer is correct
The correct answer is A. (30). The differences are (4,6,8), so the next difference is (10). Hence the next term is (30).
Step 3
Exam Tip
अंतर (4,6,8) है और अगला अंतर (10) होगा। इसलिए अगला पद (30) है।
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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)
Explanation opens after your attempt
Step 1
Concept
Each term is doubled. Twice (40) is (80).
Step 2
Why this answer is correct
The correct answer is B. (80). Each term is doubled. Twice (40) is (80).
Step 3
Exam Tip
हर बार पद (2) गुना हो रहा है। (40) का (2) गुना (80) है।
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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)
Explanation opens after your attempt
Step 1
Concept
Each term is half of the previous term. Half of (8) is (4).
Step 2
Why this answer is correct
The correct answer is C. (4). Each term is half of the previous term. Half of (8) is (4).
Step 3
Exam Tip
हर पद पिछले पद का आधा है। (8) का आधा (4) है।
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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)
Explanation opens after your attempt
Step 1
Concept
Each term increases by (3). After (16), the term is (19).
Step 2
Why this answer is correct
The correct answer is D. (19). Each term increases by (3). After (16), the term is (19).
Step 3
Exam Tip
हर बार (3) बढ़ रहा है। (16) के बाद (19) आएगा।
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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)
Explanation opens after your attempt
Step 1
Concept
This is a sequence of multiples of (7). After (14), (21) comes.
Step 2
Why this answer is correct
The correct answer is A. (21). This is a sequence of multiples of (7). After (14), (21) comes.
Step 3
Exam Tip
यह (7) के गुणजों का क्रम है। (14) के बाद (21) आता है।
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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)
Explanation opens after your attempt
Step 1
Concept
Each term decreases by (5). After (40), the term is (35).
Step 2
Why this answer is correct
The correct answer is B. (35). Each term decreases by (5). After (40), the term is (35).
Step 3
Exam Tip
हर बार (5) घट रहा है। (40) के बाद (35) होगा।
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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)
Explanation opens after your attempt
Step 1
Concept
Putting (n=4), (a_4=2(4)=8). Substitute the correct value of (n).
Step 2
Why this answer is correct
The correct answer is C. (8). Putting (n=4), (a_4=2(4)=8). Substitute the correct value of (n).
Step 3
Exam Tip
(n=4) रखने पर (a_4=2(4)=8) मिलता है। नियम में (n) का सही मान रखें।
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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)
Explanation opens after your attempt
Step 1
Concept
Putting (n=3), \(a_3=3+5=8\). Read the rule carefully first.
Step 2
Why this answer is correct
The correct answer is D. (8). Putting (n=3), \(a_3=3+5=8\). Read the rule carefully first.
Step 3
Exam Tip
(n=3) रखने पर \(a_3=3+5=8\) है। पहले नियम को ध्यान से पढ़ें।
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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)
Explanation opens after your attempt
Step 1
Concept
Putting (n=5), (3(5)-1=14). Do multiplication first.
Step 2
Why this answer is correct
The correct answer is A. (14). Putting (n=5), (3(5)-1=14). Do multiplication first.
Step 3
Exam Tip
(n=5) रखने पर (3(5)-1=14) मिलता है। गुणा पहले करें।
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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)
Explanation opens after your attempt
Step 1
Concept
Putting (n=1), (a_1=4(1)+2=6). Use (n=1) for the first term.
Step 2
Why this answer is correct
The correct answer is B. (6). Putting (n=1), (a_1=4(1)+2=6). Use (n=1) for the first term.
Step 3
Exam Tip
(n=1) रखने पर (a_1=4(1)+2=6) है। पहला पद निकालने के लिए (n=1) रखें।
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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)
Explanation opens after your attempt
Step 1
Concept
The difference between consecutive terms is (8-3=5). Subtract nearby terms to find the common difference.
Step 2
Why this answer is correct
The correct answer is C. (5). The difference between consecutive terms is (8-3=5). Subtract nearby terms to find the common difference.
Step 3
Exam Tip
लगातार पदों का अंतर (8-3=5) है। समान अंतर के लिए दो पास-पास के पद घटाएँ।
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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)
Explanation opens after your attempt
Step 1
Concept
Each term decreases by (6), so the common difference is (-6). A decreasing arithmetic sequence has a negative difference.
Step 2
Why this answer is correct
The correct answer is A. (-6). Each term decreases by (6), so the common difference is (-6). A decreasing arithmetic sequence has a negative difference.
Step 3
Exam Tip
हर बार (6) घट रहा है, इसलिए समान अंतर (-6) है। घटते क्रम में अंतर ऋणात्मक होता है।
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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)
Step 1
Concept
The differences are (5-2=3), (10-5=5), and (17-10=7). Find differences first, then observe the pattern.
Step 2
Why this answer is correct
The correct answer is B. (3,5,7). The differences are (5-2=3), (10-5=5), and (17-10=7). Find differences first, then observe the pattern.
Step 3
Exam Tip
अंतर (5-2=3), (10-5=5), (17-10=7) हैं। पहले अंतर निकालें, फिर पैटर्न देखें।
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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)
Explanation opens after your attempt
Step 1
Concept
Each new term is the sum of the previous two terms. (3+5=8) is the next term.
Step 2
Why this answer is correct
The correct answer is C. (8). Each new term is the sum of the previous two terms. (3+5=8) is the next term.
Step 3
Exam Tip
हर नया पद पिछले दो पदों का योग है। (3+5=8) अगला पद है।
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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)
Explanation opens after your attempt
Step 1
Concept
Each term is the sum of the previous two terms. (8+13=21).
Step 2
Why this answer is correct
The correct answer is D. (21). Each term is the sum of the previous two terms. (8+13=21).
Step 3
Exam Tip
हर पद पिछले दो पदों का योग है। (8+13=21) होगा।
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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)
Explanation opens after your attempt
Step 1
Concept
The differences are (1,2,3,4), so the next difference is (5). (11+5=16).
Step 2
Why this answer is correct
The correct answer is A. (16). The differences are (1,2,3,4), so the next difference is (5). (11+5=16).
Step 3
Exam Tip
अंतर (1,2,3,4) हैं, इसलिए अगला अंतर (5) होगा। (11+5=16) है।
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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)
Explanation opens after your attempt
Step 1
Concept
The subtractions are (1,2,3,4), so the next subtraction is (5). (10-5=5).
Step 2
Why this answer is correct
The correct answer is B. (5). The subtractions are (1,2,3,4), so the next subtraction is (5). (10-5=5).
Step 3
Exam Tip
घटाव (1,2,3,4) है और अगला घटाव (5) होगा। (10-5=5) है।
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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)
Explanation opens after your attempt
Step 1
Concept
These are cube numbers \(1^3,2^3,3^3,4^3\). The next term is \(5^3=125\).
Step 2
Why this answer is correct
The correct answer is C. (125). These are cube numbers \(1^3,2^3,3^3,4^3\). The next term is \(5^3=125\).
Step 3
Exam Tip
ये घन संख्याएँ \(1^3,2^3,3^3,4^3\) हैं। अगला पद \(5^3=125\) है।
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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)
Explanation opens after your attempt
Step 1
Concept
The differences are (2,3,4), and the next difference is (5). (10+5=15).
Step 2
Why this answer is correct
The correct answer is D. (15). The differences are (2,3,4), and the next difference is (5). (10+5=15).
Step 3
Exam Tip
अंतर (2,3,4) हैं और अगला अंतर (5) है। (10+5=15) होगा।
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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)
Explanation opens after your attempt
Correct Answer
A. (2) से गुणा करके / By multiplying by (2)
Step 1
Concept
Each term is (2) times the previous term. Compare nearby terms to identify the rule.
Step 2
Why this answer is correct
The correct answer is A. (2) से गुणा करके / By multiplying by (2). Each term is (2) times the previous term. Compare nearby terms to identify the rule.
Step 3
Exam Tip
हर पद पिछले पद का (2) गुना है। नियम पहचानने के लिए पास-पास के पदों की तुलना करें।
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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)
Explanation opens after your attempt
Correct Answer
B. (2) से भाग देकर / By dividing by (2)
Step 1
Concept
Each term is half of the previous term. So the rule is division by (2).
Step 2
Why this answer is correct
The correct answer is B. (2) से भाग देकर / By dividing by (2). Each term is half of the previous term. So the rule is division by (2).
Step 3
Exam Tip
हर पद पिछले पद का आधा है। इसलिए नियम (2) से भाग देना है।
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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)
Explanation opens after your attempt
Correct Answer
C. (5,9,13,17)
Step 1
Concept
In (5,9,13,17), (4) is added each time. A sequence with common difference is arithmetic.
Step 2
Why this answer is correct
The correct answer is C. (5,9,13,17). In (5,9,13,17), (4) is added each time. A sequence with common difference is arithmetic.
Step 3
Exam Tip
(5,9,13,17) में हर बार (4) जुड़ता है। समान अंतर वाले क्रम को अंकगणितीय क्रम कहा जाता है।
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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)
Explanation opens after your attempt
Correct Answer
A. (18,15,12,9)
Step 1
Concept
In (18,15,12,9), (3) is subtracted each time. Check the difference carefully in decreasing sequences.
Step 2
Why this answer is correct
The correct answer is A. (18,15,12,9). In (18,15,12,9), (3) is subtracted each time. Check the difference carefully in decreasing sequences.
Step 3
Exam Tip
(18,15,12,9) में हर बार (3) घटता है। घटते क्रम में अंतर को ध्यान से देखें।
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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)
Explanation opens after your attempt
Correct Answer
D. (1,4,9,16)
Step 1
Concept
(1,4,9,16) are \(1^2,2^2,3^2,4^2\). Square numbers form a common pattern.
Step 2
Why this answer is correct
The correct answer is D. (1,4,9,16). (1,4,9,16) are \(1^2,2^2,3^2,4^2\). Square numbers form a common pattern.
Step 3
Exam Tip
(1,4,9,16) क्रमशः \(1^2,2^2,3^2,4^2\) हैं। वर्ग संख्याएँ पहचानना आसान पैटर्न है।
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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)
Explanation opens after your attempt
Correct Answer
B. (1,3,5,7)
Step 1
Concept
(1,3,5,7) are all odd numbers. Look at the terms to identify the type of sequence.
Step 2
Why this answer is correct
The correct answer is B. (1,3,5,7). (1,3,5,7) are all odd numbers. Look at the terms to identify the type of sequence.
Step 3
Exam Tip
(1,3,5,7) सभी विषम संख्याएँ हैं। क्रम की प्रकृति पहचानने के लिए पदों को देखें।
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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)
Explanation opens after your attempt
Correct Answer
C. (2,4,6,8)
Step 1
Concept
(2,4,6,8) are all even numbers. An even number is divisible by (2).
Step 2
Why this answer is correct
The correct answer is C. (2,4,6,8). (2,4,6,8) are all even numbers. An even number is divisible by (2).
Step 3
Exam Tip
(2,4,6,8) सभी सम संख्याएँ हैं। सम संख्या (2) से विभाज्य होती है।
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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)
Explanation opens after your attempt
Step 1
Concept
Putting (n=4), \(a_4=4^2=16\). In a square rule, square the value of (n).
Step 2
Why this answer is correct
The correct answer is C. (16). Putting (n=4), \(a_4=4^2=16\). In a square rule, square the value of (n).
Step 3
Exam Tip
(n=4) रखने पर \(a_4=4^2=16\) है। वर्ग नियम में (n) का वर्ग लें।
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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)
Explanation opens after your attempt
Step 1
Concept
Putting (n=6), (a_6=5(6)=30). Substitute directly.
Step 2
Why this answer is correct
The correct answer is B. (30). Putting (n=6), (a_6=5(6)=30). Substitute directly.
Step 3
Exam Tip
(n=6) रखने पर (a_6=5(6)=30) है। सीधे प्रतिस्थापन करें।
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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)
Explanation opens after your attempt
Step 1
Concept
Putting (n=4), \(a_4=10-4=6\). Be careful with subtraction order.
Step 2
Why this answer is correct
The correct answer is C. (6). Putting (n=4), \(a_4=10-4=6\). Be careful with subtraction order.
Step 3
Exam Tip
(n=4) रखने पर \(a_4=10-4=6\) है। घटाव में क्रम का ध्यान रखें।
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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)
Explanation opens after your attempt
Step 1
Concept
Putting (n=5), (a_5=2(5)+1=11). Multiply first, then add.
Step 2
Why this answer is correct
The correct answer is C. (11). Putting (n=5), (a_5=2(5)+1=11). Multiply first, then add.
Step 3
Exam Tip
(n=5) रखने पर (a_5=2(5)+1=11) है। पहले गुणा फिर जोड़ करें।
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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)
Explanation opens after your attempt
Step 1
Concept
Each term increases by (3). Starting from (4), the (7)th term is (22).
Step 2
Why this answer is correct
The correct answer is D. (22). Each term increases by (3). Starting from (4), the (7)th term is (22).
Step 3
Exam Tip
हर बार (3) बढ़ता है। (4) से शुरू करके (7)वाँ पद (22) होगा।
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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)
Explanation opens after your attempt
Step 1
Concept
Each term decreases by (5). The (6)th term is (75).
Step 2
Why this answer is correct
The correct answer is A. (75). Each term decreases by (5). The (6)th term is (75).
Step 3
Exam Tip
हर बार (5) घटता है। (6)वाँ पद (75) है।
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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
Explanation opens after your attempt
Correct Answer
C. (5)वाँ / (5)th
Step 1
Concept
The sequence is (2,6,10,14,18). So (18) is the fifth term.
Step 2
Why this answer is correct
The correct answer is C. (5)वाँ / (5)th. The sequence is (2,6,10,14,18). So (18) is the fifth term.
Step 3
Exam Tip
क्रम (2,6,10,14,18) है। इसलिए (18) पाँचवाँ पद है।
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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
Explanation opens after your attempt
Correct Answer
C. (5)वाँ / (5)th
Step 1
Concept
The sequence is (50,45,40,35,30). Therefore (30) is the fifth term.
Step 2
Why this answer is correct
The correct answer is C. (5)वाँ / (5)th. The sequence is (50,45,40,35,30). Therefore (30) is the fifth term.
Step 3
Exam Tip
क्रम (50,45,40,35,30) है। इसलिए (30) पाँचवाँ पद है।
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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
Explanation opens after your attempt
Correct Answer
C. (6)ठा / (6)th
Step 1
Concept
Here \(36=6\times6\). So it is the sixth term.
Step 2
Why this answer is correct
The correct answer is C. (6)ठा / (6)th. Here \(36=6\times6\). So it is the sixth term.
Step 3
Exam Tip
क्रम में \(36=6\times6\) है। इसलिए यह छठा पद है।
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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)
Explanation opens after your attempt
Correct Answer
A. (4,8,12,16)
Step 1
Concept
In (4,8,12,16), the third term is (12). Always count terms in order.
Step 2
Why this answer is correct
The correct answer is A. (4,8,12,16). In (4,8,12,16), the third term is (12). Always count terms in order.
Step 3
Exam Tip
(4,8,12,16) में तीसरा पद (12) है। हमेशा पदों को क्रम से गिनें।
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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)
Explanation opens after your attempt
Correct Answer
B. (5,9,13,17)
Step 1
Concept
In (5,9,13,17), (4) is added each time. Check both the first term and the difference.
Step 2
Why this answer is correct
The correct answer is B. (5,9,13,17). In (5,9,13,17), (4) is added each time. Check both the first term and the difference.
Step 3
Exam Tip
(5,9,13,17) में हर बार (4) जुड़ता है। पहले पद और अंतर दोनों जाँचें।
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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)
Explanation opens after your attempt
Correct Answer
A. (30,24,18,12)
Step 1
Concept
In (30,24,18,12), (6) is subtracted each time. In decreasing sequences, the difference is negative.
Step 2
Why this answer is correct
The correct answer is A. (30,24,18,12). In (30,24,18,12), (6) is subtracted each time. In decreasing sequences, the difference is negative.
Step 3
Exam Tip
(30,24,18,12) में हर बार (6) घटता है। घटते क्रम में अंतर ऋणात्मक होता है।
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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)
Explanation opens after your attempt
Correct Answer
C. (3,4,5,6)
Step 1
Concept
Putting (n=1,2,3,4) gives (3,4,5,6). Start with (n=1) for the first four terms.
Step 2
Why this answer is correct
The correct answer is C. (3,4,5,6). Putting (n=1,2,3,4) gives (3,4,5,6). Start with (n=1) for the first four terms.
Step 3
Exam Tip
(n=1,2,3,4) रखने पर (3,4,5,6) मिलते हैं। पहले चार पदों के लिए (n=1) से शुरू करें।
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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)
Explanation opens after your attempt
Correct Answer
A. (1,3,5,7)
Step 1
Concept
Putting (n=1,2,3,4) gives (1,3,5,7). This is a sequence of odd numbers.
Step 2
Why this answer is correct
The correct answer is A. (1,3,5,7). Putting (n=1,2,3,4) gives (1,3,5,7). This is a sequence of odd numbers.
Step 3
Exam Tip
(n=1,2,3,4) रखने पर (1,3,5,7) मिलते हैं। यह विषम संख्याओं का क्रम है।
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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)
Explanation opens after your attempt
Correct Answer
B. (3,6,9,12)
Step 1
Concept
Putting (n=1,2,3,4) gives (3,6,9,12). These are multiples of (3).
Step 2
Why this answer is correct
The correct answer is B. (3,6,9,12). Putting (n=1,2,3,4) gives (3,6,9,12). These are multiples of (3).
Step 3
Exam Tip
(n=1,2,3,4) रखने पर (3,6,9,12) मिलते हैं। ये (3) के गुणज हैं।
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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)
Explanation opens after your attempt
Correct Answer
C. (1,4,9,16)
Step 1
Concept
\(1^2,2^2,3^2,4^2\) give (1,4,9,16). Square each (n) in a square rule.
Step 2
Why this answer is correct
The correct answer is C. (1,4,9,16). \(1^2,2^2,3^2,4^2\) give (1,4,9,16). Square each (n) in a square rule.
Step 3
Exam Tip
\(1^2,2^2,3^2,4^2\) से (1,4,9,16) मिलते हैं। वर्ग नियम में हर (n) का वर्ग लें।
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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)
Explanation opens after your attempt
Step 1
Concept
Putting (n=1), \(a_1=20-2=18\). The first term is found by using (n=1).
Step 2
Why this answer is correct
The correct answer is C. (18). Putting (n=1), \(a_1=20-2=18\). The first term is found by using (n=1).
Step 3
Exam Tip
(n=1) रखने पर \(a_1=20-2=18\) है। पहला पद हमेशा (n=1) से मिलता है।
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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)
Explanation opens after your attempt
Step 1
Concept
\(a_2\) means the second term. In this sequence, the second term is (15).
Step 2
Why this answer is correct
The correct answer is B. (15). \(a_2\) means the second term. In this sequence, the second term is (15).
Step 3
Exam Tip
\(a_2\) का अर्थ दूसरा पद है। इस क्रम में दूसरा पद (15) है।
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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)
Explanation opens after your attempt
Step 1
Concept
\(a_4\) represents the fourth term. Here the fourth term is (36).
Step 2
Why this answer is correct
The correct answer is C. (36). \(a_4\) represents the fourth term. Here the fourth term is (36).
Step 3
Exam Tip
\(a_4\) चौथे पद को दर्शाता है। यहाँ चौथा पद (36) है।
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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)
Explanation opens after your attempt
Step 1
Concept
\(a_1\) is the first term. In this sequence, the first term is (5).
Step 2
Why this answer is correct
The correct answer is A. (5). \(a_1\) is the first term. In this sequence, the first term is (5).
Step 3
Exam Tip
\(a_1\) पहला पद होता है। इस क्रम में पहला पद (5) है।
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