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 171-180 of 600 questions.
If \(a_n=5\cdot2^{n-1}\), what is the value of \(a_5\)?
B. (80)
\(a_5=5\cdot2^4=80\) है। परीक्षा में (n-1) वाला घातांक ध्यान से लगाएँ। / \(a_5=5\cdot2^4=80\). In exams, apply the exponent (n-1) carefully.
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What is the general term of the sequence \(5,10,20,40,\ldots\)?
A. \(a_n=5\cdot2^{n-1}\)
पहला पद (5) है और हर बार (2) से गुणा हो रहा है। परीक्षा में गुणोत्तर अनुक्रम में पहले पद और अनुपात दोनों देखें। / The first term is (5), and each term is multiplied by (2). In exams, check both the first term and ratio in a geometric sequence.
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If \(a_n=2n^2+3\), what is the value of \(a_4\)?
D. (35)
\(a_4=2\times16+3=35\) है। परीक्षा में वर्ग निकालकर (2) से गुणा करें। / \(a_4=2\times16+3=35\). In exams, square first and multiply by (2).
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Which explicit rule is correct for the sequence \(5,11,21,35,\ldots\)?
C. \(a_n=2n^2+3\)
\(2n^2+3\) से (5,11,21,35) मिलते हैं। परीक्षा में (n=1,2,3) रखकर विकल्प जाँचें। / \(2n^2+3\) gives (5,11,21,35). In exams, test options by putting (n=1,2,3).
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If \(a_n=3n^2-n\), what is the value of \(a_5\)?
A. (70)
\(a_5=3\times25-5=70\) है। परीक्षा में वर्ग वाले भाग से (n) घटाएँ। / \(a_5=3\times25-5=70\). In exams, subtract (n) from the square-based part.
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What is the general term of the sequence \(2,10,24,44,\ldots\)?
B. \(a_n=3n^2-n\)
\(3n^2-n\) से (2,10,24,44) मिलते हैं। परीक्षा में बहुपद नियमों को छोटे (n) मानों से मिलाएँ। / \(3n^2-n\) gives (2,10,24,44). In exams, match polynomial rules using small (n) values.
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If \(a_n=n^3+n\), what is the value of \(a_3\)?
C. (30)
\(a_3=27+3=30\) है। परीक्षा में घन और (n) दोनों जोड़ें। / \(a_3=27+3=30\). In exams, add both the cube and (n).
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Which general term is correct for the sequence \(2,10,30,68,\ldots\)?
A. \(a_n=n^3+n\)
\(n^3+n\) से (2,10,30,68) मिलते हैं। परीक्षा में घन वाले नियम को पहले तीन पदों पर जाँचें। / \(n^3+n\) gives (2,10,30,68). In exams, test the cube-based rule on the first three terms.
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If \(a_n=2n-1\), which term will be equal to (41)?
D. (n=21)
(2n-1=41) से (n=21) मिलता है। परीक्षा में विषम संख्या के पद को सूत्र से निकालें। / From (2n-1=41), we get (n=21). In exams, find the term number of an odd number using the formula.
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In the sequence \(7,10,13,16,\ldots\), which term is (58)?
B. अठारहवाँ पद(18)th term
इसका नियम \(a_n=3n+4\) है और (3n+4=58) से (n=18) है। परीक्षा में पहले नियम लिखकर दिए पद से तुलना करें। / Its rule is \(a_n=3n+4\), and (3n+4=58) gives (n=18). In exams, write the rule first and compare it with the given term.
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