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 571-580 of 600 questions.
Which general term is correct for the sequence \(2,18,52,110,\ldots\)?
A. \(a_n=n^3+3n^2-2\)
\(n^3+3n^2-2\) से (2,18,52,110) मिलते हैं। परीक्षा में घन आधारित विकल्पों को छोटे (n) से जाँचें। / \(n^3+3n^2-2\) gives (2,18,52,110). In exams, test cube-based options with small (n).
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If \(a_n=2n^3+n^2+n\), what is the value of \(a_3\)?
C. (66)
\(a_3=54+9+3=66\) है। परीक्षा में घन, वर्ग और रैखिक भाग जोड़ें। / \(a_3=54+9+3=66\). In exams, add the cube, square, and linear parts.
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What is the general term of the sequence \(4,22,66,148,\ldots\)?
A. \(a_n=2n^3+n^2+n\)
\(2n^3+n^2+n\) से (4,22,66,148) मिलते हैं। परीक्षा में संयुक्त घन नियम भी जाँचें। / \(2n^3+n^2+n\) gives (4,22,66,148). In exams, also check combined cubic rules.
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If \(a_n=\frac{3n^2+5n}{4}\), what is the value of \(a_4\)?
C. (17)
\(a_4=\frac{48+20}{4}=17\) है। परीक्षा में अंश पूरा सरल करके हर से भाग दें। / \(a_4=\frac{48+20}{4}=17\). In exams, simplify the whole numerator and then divide by the denominator.
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Which explicit rule is correct for the sequence \(2,\frac{11}{2},\frac{21}{2},17,\ldots\)?
A. \(a_n=\frac{3n^2+5n}{4}\)
\(\frac{3n^2+5n}{4}\) से दिए पद मिलते हैं। परीक्षा में भिन्न पदों को भी विकल्पों से मिलाएँ। / \(\frac{3n^2+5n}{4}\) gives the given terms. In exams, match fractional terms with options too.
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If \(a_n=6n^2-n+4\), what is \(a_4:a_2\)?
B. (48:13)
\(a_4=96\) और \(a_2=26\), इसलिए सरल अनुपात (48:13) है। परीक्षा में अनुपात सरल करना न भूलें। / \(a_4=96\) and \(a_2=26\), so the simplified ratio is (48:13). In exams, do not forget to simplify the ratio.
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What is the general term of the sequence \(9,26,55,96,\ldots\)?
A. \(a_n=6n^2-n+4\)
\(6n^2-n+4\) से (9,26,55,96) मिलते हैं। परीक्षा में दूसरे अंतर समान हों तो वर्गीय नियम देखें। / \(6n^2-n+4\) gives (9,26,55,96). In exams, check a quadratic rule when second differences are constant.
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If \(a_n=5^n+n-4\), what is the value of \(a_3\)?
C. (124)
\(a_3=125+3-4=124\) है। परीक्षा में घात और रैखिक भाग दोनों सही रखें। / \(a_3=125+3-4=124\). In exams, keep both the power and linear part correct.
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Which general term is correct for the sequence \(2,23,124,625,\ldots\)?
A. \(a_n=5^n+n-4\)
\(5^n+n-4\) से (2,23,124,625) मिलते हैं। परीक्षा में घात वाले नियम में छोटा रैखिक भाग भी जाँचें। / \(5^n+n-4\) gives (2,23,124,625). In exams, also check the small linear part in a power rule.
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If \(a_n=13n-10\), what is the average of the first five terms?
A. (29)
पहले पाँच पद (3,16,29,42,55) हैं और औसत (29) है। परीक्षा में औसत के लिए योग को पदों की संख्या से भाग दें। / The first five terms are (3,16,29,42,55), and the average is (29). In exams, divide the sum by the number of terms.
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