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 121-130 of 600 questions.
What is the general term of the sequence \(2,16,54,128,\ldots\)?
A. \(a_n=2n^3\)
ये पद \(2n^3\) से मिलते हैं। परीक्षा में (n=1,2,3) रखकर नियम जाँचें। / These terms come from \(2n^3\). In exams, check the rule by putting (n=1,2,3).
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If \(a_n=40-3n\), what is the value of \(a_5\)?
C. (25)
\(a_5=40-15=25\) है। परीक्षा में (3n) को सही घटाएँ। / \(a_5=40-15=25\). In exams, subtract (3n) correctly.
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What is the general term of the sequence \(37,34,31,28,\ldots\)?
B. \(a_n=40-3n\)
(n=1) पर (37) और (n=2) पर (34) मिलता है, इसलिए \(a_n=40-3n\) है। परीक्षा में घटते नियम को पहले पद से जाँचें। / At (n=1) it gives (37), and at (n=2) it gives (34), so \(a_n=40-3n\). In exams, check a decreasing rule with the first term.
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If \(a_n=9n+2\), what is the value of \(a_4\)?
C. (38)
\(a_4=9\times4+2=38\) है। परीक्षा में स्थिर संख्या को अंत में जोड़ें। / \(a_4=9\times4+2=38\). In exams, add the constant at the end.
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Which general term is correct for the sequence \(11,20,29,38,\ldots\)?
B. \(a_n=9n+2\)
पहला पद (11) और अंतर (9) है, इसलिए \(a_n=9n+2\) है। परीक्षा में पहले दो पदों पर नियम जाँचें। / The first term is (11) and the difference is (9), so \(a_n=9n+2\). In exams, check the rule on the first two terms.
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If (a_n=\frac{n(n+3)}{2}), what is the value of \(a_3\)?
C. (9)
\(a_3=\frac{3\times6}{2}=9\) है। परीक्षा में पहले (n+3) निकालें और फिर सरल करें। / \(a_3=\frac{3\times6}{2}=9\). In exams, find (n+3) first and then simplify.
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Which general term is correct for the sequence \(2,5,9,14,\ldots\)?
B. (a_n=\frac{n(n+3)}{2})
(\frac{n(n+3)}{2}) से (2,5,9,14) मिलते हैं। परीक्षा में भिन्न सूत्रों को छोटे (n) मानों से जाँचें। / (\frac{n(n+3)}{2}) gives (2,5,9,14). In exams, test fractional formulas with small (n) values.
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If \(a_n=6n^2-2\), what is the value of \(a_2\)?
B. (22)
\(a_2=6\times4-2=22\) है। परीक्षा में वर्ग के बाद (6) से गुणा करें और (2) घटाएँ। / \(a_2=6\times4-2=22\). In exams, square first, multiply by (6), and subtract (2).
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What is the general term of the sequence \(4,22,52,94,\ldots\)?
A. \(a_n=6n^2-2\)
\(6n^2-2\) रखने पर (4,22,52,94) मिलते हैं। परीक्षा में वर्ग वाले नियम को पहले तीन पदों से मिलाएँ। / Using \(6n^2-2\) gives (4,22,52,94). In exams, match the square rule with the first three terms.
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If \(a_n=4n+9\), what is the value of \(a_6\)?
B. (33)
\(a_6=4\times6+9=33\) है। परीक्षा में दिए (n) को सीधे सूत्र में रखें। / \(a_6=4\times6+9=33\). In exams, put the given (n) directly into the formula.
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