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 71-80 of 600 questions.
Which general term is correct for the sequence \(2,9,28,65,\ldots\)?
B. \(a_n=n^3+1\)
ये पद \(n^3+1\) से मिलते हैं। परीक्षा में (n=1,2,3) रखकर विकल्प जाँचें। / The terms come from \(n^3+1\). In exams, check options using (n=1,2,3).
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If \(a_n=20-4n\), what is the value of \(a_4\)?
B. (4)
\(a_4=20-16=4\) है। परीक्षा में (4n) निकालकर उसे घटाएँ। / \(a_4=20-16=4\). In exams, calculate (4n) and subtract it.
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What is the general term of the sequence \(16,12,8,4,\ldots\)?
B. \(a_n=20-4n\)
(n=1) पर (16) और (n=2) पर (12) मिलता है, इसलिए \(a_n=20-4n\) है। परीक्षा में घटते अनुक्रम में पहला पद मिलाकर नियम जाँचें। / At (n=1) it gives (16), and at (n=2) it gives (12), so \(a_n=20-4n\). In exams, check the rule with the first term in a decreasing sequence.
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If \(a_n=7n+1\), what is the value of \(a_5\)?
C. (36)
\(a_5=7\times5+1=36\) है। परीक्षा में स्थिर संख्या को अंत में जोड़ें। / \(a_5=7\times5+1=36\). In exams, add the constant at the end.
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What is the general term of the sequence \(8,15,22,29,\ldots\)?
A. \(a_n=7n+1\)
पहला पद (8) और अंतर (7) है, इसलिए \(a_n=7n+1\) है। परीक्षा में पहले पद से स्थिर भाग निकालें। / The first term is (8) and the difference is (7), so \(a_n=7n+1\). In exams, find the constant part from the first term.
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If (a_n=\frac{n(n-1)}{2}), what is the value of \(a_5\)?
B. (10)
\(a_5=\frac{5\times4}{2}=10\) है। परीक्षा में पहले गुणन करें और फिर (2) से भाग दें। / \(a_5=\frac{5\times4}{2}=10\). In exams, multiply first and then divide by (2).
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Which general term is correct for the sequence \(0,1,3,6,\ldots\)?
B. (a_n=\frac{n(n-1)}{2})
(n=1,2,3,4) रखने पर (0,1,3,6) मिलते हैं। परीक्षा में त्रिभुज संख्या जैसे विकल्पों को छोटे (n) से जाँचें। / Putting (n=1,2,3,4) gives (0,1,3,6). In exams, test triangular-number-like options with small (n).
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If \(a_n=4n^2-1\), what is the value of \(a_3\)?
C. (35)
\(a_3=4\times9-1=35\) है। परीक्षा में वर्ग के बाद (4) से गुणा करें। / \(a_3=4\times9-1=35\). In exams, square first and then multiply by (4).
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What is the general term of the sequence \(3,15,35,63,\ldots\)?
B. \(a_n=4n^2-1\)
\(4n^2-1\) से (3,15,35,63) मिलते हैं। परीक्षा में (n=1,2,3) रखकर मिलान करें। / \(4n^2-1\) gives (3,15,35,63). In exams, substitute (n=1,2,3) and match.
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If \(a_n=3n+7\), what is the value of \(a_6\)?
B. (25)
\(a_6=3\times6+7=25\) है। परीक्षा में दिए (n) को सीधे सूत्र में रखें। / \(a_6=3\times6+7=25\). In exams, put the given (n) directly into the formula.
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