Practice focused topic-wise MCQs with answers and explanations for quick revision and exam preparation.
Difficulty select karke sirf is topic ke focused MCQs practice karein. Score, timer aur explanations student-friendly flow me milenge.
Showing 461-470 of 600 questions.
If \(a_1=4\) and \(a_{n+1}=a_n+2n+1\), what is the value of \(a_7\)?
D. (52)
पद (4,7,12,19,28,39,52) हैं। क्रमांक साथ लिखने से पुनरावर्ती गलती कम होती है। / The terms are (4,7,12,19,28,39,52). Exam tip: write term positions to reduce recursive mistakes.
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If (a_n=(-1)^{n+1}n-2), what will be the value of \(a_9+a_{10}\)?
A. (-19)
\(a_9=81\) और \(a_{10}=-100\) इसलिए योग (-19) है। घात और संकेत दोनों पर ध्यान दें। / \(a_9=81\) and \(a_{10}=-100\), so the sum is (-19). Exam tip: track both power and sign.
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C. (364)
\(3\times121+1=364\) है। दिए गए नियम को अंतिम पद पर सीधे लगाएँ। / \(3\times121+1=364\). Exam tip: apply the given rule directly to the last term.
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If \(a_n=2^n+n\), what will be the value of \(a_6\)?
B. (70)
\(a_6=2^6+6=70\) है। घात निकालने के बाद ही जोड़ करें। / \(a_6=2^6+6=70\). Exam tip: calculate the power first and then add.
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In the sequence \(1,3,7,15,31,\ldots\), which term is (127)?
D. (7)वाँ(7)th
यह अनुक्रम \(2^n-1\) है और \(2^7-1=127\) है। (2) की घातों को पहचानना उपयोगी है। / This sequence is \(2^n-1\), and \(2^7-1=127\). Exam tip: recognizing powers of (2) is useful.
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In the sequence \(4,9,16,25,\ldots\), which term is (169)?
A. (12)वाँ(12)th
यह \(2^2,3^2,4^2,\ldots\) है इसलिए \(169=13^2\) (12)वाँ पद है। शिफ्ट हुए वर्ग अनुक्रम में क्रमांक ध्यान से गिनें। / This is \(2^2,3^2,4^2,\ldots\), so \(169=13^2\) is the (12)th term. Exam tip: count positions carefully in shifted square sequences.
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In the sequence (7,12,x,34,51), the differences increase as (5,9,13,17). What is the value of (x)?
C. (21)
(12+9=21) और (21+13=34) है। missing पद के दोनों तरफ जाँच करें। / (12+9=21) and (21+13=34). Exam tip: check both sides of a missing term.
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In the sequence (100,96,89,x,66), the differences are (-4,-7,-10,-13). What will (x) be?
B. (79)
(89-10=79) और (79-13=66) है। घटते अनुक्रम में ऋण चिह्न सावधानी से रखें। / (89-10=79) and (79-13=66). Exam tip: handle negative signs carefully in decreasing sequences.
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D. (4374)
आठवाँ पद \(2\times3^7=4374\) है। पहले पद से गिनते समय घात (n-1) होती है। / The eighth term is \(2\times3^7=4374\). Exam tip: from the first term, the exponent is (n-1).
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In the sequence \(512,256,128,64,\ldots\), which is the first term less than (10)?
A. (7)वाँ(7)th
पद (512,256,128,64,32,16,8) हैं इसलिए (7)वाँ पद पहला छोटा पद है। शर्त वाले प्रश्न में क्रम से सीमा तक जाएँ। / The terms are (512,256,128,64,32,16,8), so the (7)th term is the first smaller term. Exam tip: move stepwise until the condition is met.
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