यदि \(a_n=8\cdot2^{n-1}\) है, तो यह कौन-सा अनुक्रम बनाता है?
If \(a_n=8\cdot2^{n-1}\), which sequence does it form?
#sequences
#progressions
#geometric-progression
#sequence-from-rule
A \(8,10,12,14,\ldots\)
B \(2,8,32,128,\ldots\)
C \(8,16,32,64,\ldots\)
D \(16,32,64,128,\ldots\)
Explanation opens after your attempt
Correct Answer
C. \(8,16,32,64,\ldots\)
Step 1
Concept
Putting (n=1,2,3,4) gives (8,16,32,64). Form the initial terms from the rule and match the option.
Step 2
Why this answer is correct
The correct answer is C. \(8,16,32,64,\ldots\). Putting (n=1,2,3,4) gives (8,16,32,64). Form the initial terms from the rule and match the option.
Step 3
Exam Tip
(n=1,2,3,4) रखने पर (8,16,32,64) मिलते हैं। नियम से शुरू के पद बनाकर विकल्प मिलाएं।
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यदि \(a_n=6\cdot3^{n-1}\) है, तो यह कौन-सा अनुक्रम बनाता है?
If \(a_n=6\cdot3^{n-1}\), which sequence does it form?
#sequences
#progressions
#geometric-progression
#sequence-from-rule
A \(3,6,9,12,\ldots\)
B \(6,9,12,15,\ldots\)
C \(6,18,54,162,\ldots\)
D \(18,54,162,486,\ldots\)
Explanation opens after your attempt
Correct Answer
C. \(6,18,54,162,\ldots\)
Step 1
Concept
Putting (n=1,2,3,4) gives (6,18,54,162). Form the initial terms from the rule and match the option.
Step 2
Why this answer is correct
The correct answer is C. \(6,18,54,162,\ldots\). Putting (n=1,2,3,4) gives (6,18,54,162). Form the initial terms from the rule and match the option.
Step 3
Exam Tip
(n=1,2,3,4) रखने पर (6,18,54,162) मिलते हैं। नियम से शुरू के पद बनाकर विकल्प मिलाएं।
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यदि \(a_n=4\cdot2^{n-1}\) है, तो यह कौन-सा अनुक्रम बनाता है?
If \(a_n=4\cdot2^{n-1}\), which sequence does it form?
#sequences
#progressions
#geometric-progression
#sequence-from-rule
A \(4,6,8,10,\ldots\)
B \(2,4,8,16,\ldots\)
C \(4,8,16,32,\ldots\)
D \(8,16,32,64,\ldots\)
Explanation opens after your attempt
Correct Answer
C. \(4,8,16,32,\ldots\)
Step 1
Concept
Putting (n=1,2,3,4) gives (4,8,16,32). Form the initial terms from the rule and match the option.
Step 2
Why this answer is correct
The correct answer is C. \(4,8,16,32,\ldots\). Putting (n=1,2,3,4) gives (4,8,16,32). Form the initial terms from the rule and match the option.
Step 3
Exam Tip
(n=1,2,3,4) रखने पर (4,8,16,32) मिलते हैं। नियम से शुरू के पद बनाकर विकल्प मिलाएं।
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किस समांतर श्रेणी का (n)वाँ पद \(a_n=7n+3\) है?
Which arithmetic progression has (n)th term \(a_n=7n+3\)?
#sequences
#progressions
#arithmetic-progression
#sequence-from-rule
A \(3,10,17,24,\ldots\)
B \(7,14,21,28,\ldots\)
C \(10,17,24,31,\ldots\)
D \(17,24,31,38,\ldots\)
Explanation opens after your attempt
Correct Answer
C. \(10,17,24,31,\ldots\)
Step 1
Concept
Putting (n=1,2,3,4) gives \(10,17,24,31,\ldots\). Form the initial terms from the rule and match the option.
Step 2
Why this answer is correct
The correct answer is C. \(10,17,24,31,\ldots\). Putting (n=1,2,3,4) gives \(10,17,24,31,\ldots\). Form the initial terms from the rule and match the option.
Step 3
Exam Tip
(n=1,2,3,4) रखने पर \(10,17,24,31,\ldots\) मिलता है। नियम से शुरू के पद बनाकर विकल्प मिलाएं।
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किस समांतर श्रेणी का (n)वाँ पद \(a_n=5n+4\) है?
Which arithmetic progression has (n)th term \(a_n=5n+4\)?
#sequences
#progressions
#arithmetic-progression
#sequence-from-rule
A \(4,9,14,19,\ldots\)
B \(5,10,15,20,\ldots\)
C \(9,14,19,24,\ldots\)
D \(14,19,24,29,\ldots\)
Explanation opens after your attempt
Correct Answer
C. \(9,14,19,24,\ldots\)
Step 1
Concept
Putting (n=1,2,3,4) gives \(9,14,19,24,\ldots\). Form the initial terms from the rule and match the option.
Step 2
Why this answer is correct
The correct answer is C. \(9,14,19,24,\ldots\). Putting (n=1,2,3,4) gives \(9,14,19,24,\ldots\). Form the initial terms from the rule and match the option.
Step 3
Exam Tip
(n=1,2,3,4) रखने पर \(9,14,19,24,\ldots\) मिलता है। नियम से शुरू के पद बनाकर विकल्प मिलाएं।
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किस समांतर श्रेणी का (n)वाँ पद \(a_n=6n+1\) है?
Which arithmetic progression has (n)th term \(a_n=6n+1\)?
#sequences
#progressions
#arithmetic-progression
#sequence-from-rule
A \(1,7,13,19,\ldots\)
B \(6,12,18,24,\ldots\)
C \(7,13,19,25,\ldots\)
D \(13,19,25,31,\ldots\)
Explanation opens after your attempt
Correct Answer
C. \(7,13,19,25,\ldots\)
Step 1
Concept
Putting (n=1,2,3,4) gives \(7,13,19,25,\ldots\). Form the initial terms from the rule and match the option.
Step 2
Why this answer is correct
The correct answer is C. \(7,13,19,25,\ldots\). Putting (n=1,2,3,4) gives \(7,13,19,25,\ldots\). Form the initial terms from the rule and match the option.
Step 3
Exam Tip
(n=1,2,3,4) रखने पर \(7,13,19,25,\ldots\) मिलता है। नियम से शुरू के पद बनाकर विकल्प मिलाएं।
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किस विकल्प में \(a_n=16-2n\) से बने पहले चार पद हैं?
Which option has the first four terms formed by \(a_n=16-2n\)?
#sequences
#progressions
#arithmetic-progression
#sequence-from-rule
A (14,12,10,8)
B (16,14,12,10)
C (18,16,14,12)
D (2,4,6,8)
Explanation opens after your attempt
Correct Answer
A. (14,12,10,8)
Step 1
Concept
Putting (n=1,2,3,4) gives (14,12,10,8). When forming terms from a rule, start with (n=1).
Step 2
Why this answer is correct
The correct answer is A. (14,12,10,8). Putting (n=1,2,3,4) gives (14,12,10,8). When forming terms from a rule, start with (n=1).
Step 3
Exam Tip
(n=1,2,3,4) रखने पर (14,12,10,8) मिलते हैं। नियम से पद बनाते समय (n=1) से शुरू करें।
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यदि \(a_n=4n+3\) है, तो पहले चार पद कौन-से होंगे?
If \(a_n=4n+3\), what will be the first four terms?
#sequences
#progressions
#arithmetic-progression
#sequence-from-rule
A (7,11,15,19)
B (4,8,12,16)
C (3,7,11,15)
D (8,12,16,20)
Explanation opens after your attempt
Correct Answer
A. (7,11,15,19)
Step 1
Concept
Putting (n=1,2,3,4) gives (7,11,15,19). When forming terms from a rule, start (n) from (1).
Step 2
Why this answer is correct
The correct answer is A. (7,11,15,19). Putting (n=1,2,3,4) gives (7,11,15,19). When forming terms from a rule, start (n) from (1).
Step 3
Exam Tip
(n=1,2,3,4) रखने पर (7,11,15,19) मिलते हैं। नियम से पद बनाते समय (n) को (1) से शुरू करें।
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किस विकल्प में \(a_n=10-3n\) से बने पहले चार पद हैं?
Which option has the first four terms formed by \(a_n=10-3n\)?
#sequences
#progressions
#arithmetic-progression
#sequence-from-rule
A (7,4,1,-2)
B (10,7,4,1)
C (13,10,7,4)
D (3,6,9,12)
Explanation opens after your attempt
Correct Answer
A. (7,4,1,-2)
Step 1
Concept
Putting (n=1,2,3,4) gives (7,4,1,-2). When forming terms from a rule start with (n=1).
Step 2
Why this answer is correct
The correct answer is A. (7,4,1,-2). Putting (n=1,2,3,4) gives (7,4,1,-2). When forming terms from a rule start with (n=1).
Step 3
Exam Tip
(n=1,2,3,4) रखने पर (7,4,1,-2) मिलते हैं। नियम से पद बनाते समय (n=1) से शुरू करें।
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यदि \(a_n=3n+2\) है, तो पहले चार पद कौन-से होंगे?
If \(a_n=3n+2\), what will be the first four terms?
#sequences
#progressions
#arithmetic-progression
#sequence-from-rule
A (5,8,11,14)
B (3,6,9,12)
C (2,5,8,11)
D (6,9,12,15)
Explanation opens after your attempt
Correct Answer
A. (5,8,11,14)
Step 1
Concept
Putting (n=1,2,3,4) gives (5,8,11,14). When forming terms from a rule start (n) from (1).
Step 2
Why this answer is correct
The correct answer is A. (5,8,11,14). Putting (n=1,2,3,4) gives (5,8,11,14). When forming terms from a rule start (n) from (1).
Step 3
Exam Tip
(n=1,2,3,4) रखने पर (5,8,11,14) मिलते हैं। नियम से पद बनाते समय (n) को (1) से शुरू करें।
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किस समानांतर श्रेढ़ी का (n)वाँ पद \(a_n=3n+8\) है?
Which arithmetic progression has (n)th term \(a_n=3n+8\)?
#sequences
#progressions
#arithmetic-progression
#sequence-from-rule
A \(8,11,14,17,\ldots\)
B \(11,14,17,20,\ldots\)
C \(3,11,19,27,\ldots\)
D \(10,13,16,19,\ldots\)
Explanation opens after your attempt
Correct Answer
B. \(11,14,17,20,\ldots\)
Step 1
Concept
Putting (n=1,2,3,4) gives (11,14,17,20). Form the first few terms from the rule and match.
Step 2
Why this answer is correct
The correct answer is B. \(11,14,17,20,\ldots\). Putting (n=1,2,3,4) gives (11,14,17,20). Form the first few terms from the rule and match.
Step 3
Exam Tip
(n=1,2,3,4) रखने पर (11,14,17,20) मिलते हैं। नियम से पहले कुछ पद बनाकर मिलाएं।
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यदि \(a_n=4n^2-3n+8\) है तो पहले तीन पद कौन-से हैं?
If \(a_n=4n^2-3n+8\), what are the first three terms?
#sequences
#progressions
#sequence-from-rule
#quadratic-rule
A (9,18,35)
B (10,20,38)
C (8,17,34)
D (9,20,39)
Explanation opens after your attempt
Correct Answer
A. (9,18,35)
Step 1
Concept
Putting (n=1,2,3) gives (9,18,35). Calculate each term carefully in a quadratic rule.
Step 2
Why this answer is correct
The correct answer is A. (9,18,35). Putting (n=1,2,3) gives (9,18,35). Calculate each term carefully in a quadratic rule.
Step 3
Exam Tip
(n=1,2,3) रखने पर (9,18,35) मिलते हैं। द्विघात नियम में हर पद की गणना सावधानी से करें।
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किस विकल्प में \(a_n=3n^2-2n+6\) से बने पहले तीन पद हैं?
Which option contains the first three terms formed by \(a_n=3n^2-2n+6\)?
#sequences
#progressions
#sequence-from-rule
#quadratic-rule
A (7,14,27)
B (6,13,26)
C (8,15,28)
D (7,16,31)
Explanation opens after your attempt
Correct Answer
A. (7,14,27)
Step 1
Concept
Putting (n=1,2,3) gives (7,14,27). To check options, find the initial terms.
Step 2
Why this answer is correct
The correct answer is A. (7,14,27). Putting (n=1,2,3) gives (7,14,27). To check options, find the initial terms.
Step 3
Exam Tip
(n=1,2,3) रखने पर (7,14,27) मिलते हैं। विकल्प जांचने के लिए शुरुआती पद निकालें।
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यदि \(a_n=n^2+6n+5\) है तो पहले चार पद कौन-से हैं?
If \(a_n=n^2+6n+5\), what are the first four terms?
#sequences
#progressions
#sequence-from-rule
#quadratic-rule
A (12,21,32,45)
B (10,19,30,43)
C (13,22,33,46)
D (11,20,31,44)
Explanation opens after your attempt
Correct Answer
A. (12,21,32,45)
Step 1
Concept
Putting (n=1,2,3,4) gives (12,21,32,45). Start (n) from (1) when forming terms from a rule.
Step 2
Why this answer is correct
The correct answer is A. (12,21,32,45). Putting (n=1,2,3,4) gives (12,21,32,45). Start (n) from (1) when forming terms from a rule.
Step 3
Exam Tip
(n=1,2,3,4) रखने पर (12,21,32,45) मिलते हैं। नियम से पद बनाते समय (n) को (1) से शुरू करें।
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यदि \(a_n=3n^2-2n+5\) है तो पहले तीन पद कौन-से हैं?
If \(a_n=3n^2-2n+5\), what are the first three terms?
#sequences
#progressions
#sequence-from-rule
#quadratic-rule
A (6,13,26)
B (5,12,25)
C (7,14,27)
D (6,14,26)
Explanation opens after your attempt
Correct Answer
A. (6,13,26)
Step 1
Concept
Putting (n=1,2,3) gives (6,13,26). Calculate each term carefully in a quadratic rule.
Step 2
Why this answer is correct
The correct answer is A. (6,13,26). Putting (n=1,2,3) gives (6,13,26). Calculate each term carefully in a quadratic rule.
Step 3
Exam Tip
(n=1,2,3) रखने पर (6,13,26) मिलते हैं। द्विघात नियम में हर पद की गणना सावधानी से करें।
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किस विकल्प में \(a_n=2n^2-n+4\) से बने पहले तीन पद हैं?
Which option contains the first three terms formed by \(a_n=2n^2-n+4\)?
#sequences
#progressions
#sequence-from-rule
#quadratic-rule
A (4,10,20)
B (5,10,19)
C (6,12,22)
D (7,14,25)
Explanation opens after your attempt
Correct Answer
B. (5,10,19)
Step 1
Concept
Putting (n=1,2,3) gives (5,10,19). To check options, find the initial terms.
Step 2
Why this answer is correct
The correct answer is B. (5,10,19). Putting (n=1,2,3) gives (5,10,19). To check options, find the initial terms.
Step 3
Exam Tip
(n=1,2,3) रखने पर (5,10,19) मिलते हैं। विकल्प जांचने के लिए शुरुआती पद निकालें।
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यदि \(a_n=n^2+5n+6\) है तो पहले चार पद कौन-से हैं?
If \(a_n=n^2+5n+6\), what are the first four terms?
#sequences
#progressions
#sequence-from-rule
#quadratic-rule
A (10,18,28,40)
B (11,19,29,41)
C (12,20,30,42)
D (13,21,31,43)
Explanation opens after your attempt
Correct Answer
C. (12,20,30,42)
Step 1
Concept
Putting (n=1,2,3,4) gives (12,20,30,42). When forming terms from a rule start (n) from (1).
Step 2
Why this answer is correct
The correct answer is C. (12,20,30,42). Putting (n=1,2,3,4) gives (12,20,30,42). When forming terms from a rule start (n) from (1).
Step 3
Exam Tip
(n=1,2,3,4) रखने पर (12,20,30,42) मिलते हैं। नियम से पद बनाते समय (n) को (1) से शुरू करें।
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यदि \(a_n=2n^2+2n+1\) है तो पहले तीन पद कौन-से हैं?
If \(a_n=2n^2+2n+1\), what are the first three terms?
#sequences
#progressions
#sequence-from-rule
#quadratic-rule
A (3,9,19)
B (4,12,24)
C (5,11,21)
D (5,13,25)
Explanation opens after your attempt
Correct Answer
D. (5,13,25)
Step 1
Concept
Putting (n=1,2,3) gives (5,13,25). Calculate each term carefully in a quadratic rule.
Step 2
Why this answer is correct
The correct answer is D. (5,13,25). Putting (n=1,2,3) gives (5,13,25). Calculate each term carefully in a quadratic rule.
Step 3
Exam Tip
(n=1,2,3) रखने पर (5,13,25) मिलते हैं। द्विघात नियम में हर पद की गणना सावधानी से करें।
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किस विकल्प में \(a_n=n^2+3n-1\) से बने पहले तीन पद हैं?
Which option contains the first three terms formed by \(a_n=n^2+3n-1\)?
#sequences
#progressions
#sequence-from-rule
#quadratic-rule
A (2,9,18)
B (3,9,17)
C (4,10,18)
D (5,11,19)
Explanation opens after your attempt
Correct Answer
B. (3,9,17)
Step 1
Concept
Putting (n=1,2,3) gives (3,9,17). To check options, quickly find the initial terms.
Step 2
Why this answer is correct
The correct answer is B. (3,9,17). Putting (n=1,2,3) gives (3,9,17). To check options, quickly find the initial terms.
Step 3
Exam Tip
(n=1,2,3) रखने पर (3,9,17) मिलते हैं। विकल्प जांचने के लिए शुरुआती पद जल्दी निकालें।
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