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 471-480 of 600 questions.
If \(a_n=3n^2-2n\), which term is equal to (408)?
C. (12)वाँ(12)th
\(3\times12^2-2\times12=408\) है। विकल्पों को जल्दी जाँचने के लिए दिए गए क्रमांक रखें। / \(3\times12^2-2\times12=408\). Exam tip: test the given positions quickly in the formula.
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If \(a_n=n^3-n\), what will be the value of \(a_7-a_5\)?
B. (216)
\(a_7=336\) और \(a_5=120\) इसलिए अंतर (216) है। घन वाले पदों में पहले मान अलग निकालें। / \(a_7=336\) and \(a_5=120\), so the difference is (216). Exam tip: calculate cube-based terms separately first.
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Which is the correct general term for the sequence \(5,12,23,38,57,\ldots\)?
D. \(a_n=2n^2+n+2\)
\(2n^2+n+2\) से शुरुआती पद (5,12,23) मिलते हैं। सूत्र चुनते समय कम से कम तीन पद जाँचें। / \(2n^2+n+2\) gives the starting terms (5,12,23). Exam tip: check at least three terms before choosing a formula.
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The sequence \(3,10,21,36,55,\ldots\) has general term \(a_n=2n^2+n\). What will be the (11)th term?
A. (253)
\(a_{11}=2\times11^2+11=253\) है। वर्ग और गुणा पहले करके अंत में जोड़ें। / \(a_{11}=2\times11^2+11=253\). Exam tip: square and multiply first, then add.
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If \(a_n=n^2+4n\), how many terms will be less than (200)?
C. (12)
\(a_{12}=192\) और \(a_{13}=221\) है इसलिए (12) पद (200) से छोटे हैं। सीमा के पास वाले दो पद जरूर जाँचें। / \(a_{12}=192\) and \(a_{13}=221\), so (12) terms are less than (200). Exam tip: check the two terms near the boundary.
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In the sequence \(5,12,19,26,\ldots\), how many terms are greater than (50) and less than (150)?
B. (14)
पहला योग्य पद (54) है और अंतिम योग्य पद (145) है। (8)वें से (21)वें पद तक कुल (14) पद हैं। / The first valid term is (54) and the last valid term is (145). From the (8)th to the (21)st term, there are (14) terms.
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What is the sum of the first (5) terms of the sequence \(2,5,10,17,26,\ldots\)?
D. (60)
पहले (5) पदों का योग (2+5+10+17+26=60) है। योग प्रश्न में सभी मांगे गए पद शामिल करें। / The sum of the first (5) terms is (2+5+10+17+26=60). Exam tip: include all required terms in sum questions.
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A. (38)
\(a_5=2+3+7+11+15=38\) है। अंतर जोड़ते समय पहला पद भी शामिल रखें। / \(a_5=2+3+7+11+15=38\). Exam tip: include the first term when adding differences.
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What will be the (10)th term in the sequence \(\frac{1}{2},\frac{2}{3},\frac{3}{4},\ldots\)?
C. \(\frac{10}{11}\)
सामान्य पद \(\frac{n}{n+1}\) है इसलिए (10)वाँ पद \(\frac{10}{11}\) है। भिन्नों में अंश और हर का पैटर्न अलग देखें। / The general term is \(\frac{n}{n+1}\), so the (10)th term is \(\frac{10}{11}\). Exam tip: observe numerator and denominator patterns separately.
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What will be the (8)th term in the sequence \(\frac{1}{3},\frac{2}{5},\frac{3}{7},\ldots\)?
B. \(\frac{8}{17}\)
सामान्य पद \(\frac{n}{2n+1}\) है इसलिए (8)वाँ पद \(\frac{8}{17}\) है। हर में बढ़ोतरी अलग से पहचानें। / The general term is \(\frac{n}{2n+1}\), so the (8)th term is \(\frac{8}{17}\). Exam tip: identify the denominator pattern separately.
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