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 491-500 of 600 questions.
If \(a_n=2n^2+7n-4\), what is the value of \(a_6\)?
C. (110)
\(a_6=72+42-4=110\) है। परीक्षा में धन और ऋण पदों को अलग-अलग लिखें। / \(a_6=72+42-4=110\). In exams, write positive and negative terms separately.
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Which general term is correct for the sequence \(5,18,35,56,\ldots\)?
A. \(a_n=2n^2+7n-4\)
\(2n^2+7n-4\) से (5,18,35,56) मिलते हैं। परीक्षा में वर्गीय नियम को छोटे (n) से जाँचें। / \(2n^2+7n-4\) gives (5,18,35,56). In exams, test the quadratic rule with small (n).
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If \(a_n=\frac{2n^2+5n}{3}\), what is the value of \(a_6\)?
B. (34)
\(a_6=\frac{72+30}{3}=34\) है। परीक्षा में अंश पूरा सरल करके हर से भाग दें। / \(a_6=\frac{72+30}{3}=34\). In exams, simplify the whole numerator and then divide by the denominator.
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What is the general term of the sequence \(\frac{7}{3},6,11,\frac{52}{3},\ldots\)?
A. \(a_n=\frac{2n^2+5n}{3}\)
\(\frac{2n^2+5n}{3}\) से दिए पद मिलते हैं। परीक्षा में भिन्न पदों को भी विकल्पों से मिलाएँ। / \(\frac{2n^2+5n}{3}\) gives the given terms. In exams, match fractional terms with options too.
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If \(a_n=4n^2+3n+2\), what is the value of \(a_4-a_1\)?
B. (69)
\(a_4=78\) और \(a_1=9\), इसलिए अंतर (69) है। परीक्षा में अंतिम घटाव से पहले दोनों मान जाँचें। / \(a_4=78\) and \(a_1=9\), so the difference is (69). In exams, check both values before the final subtraction.
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What is the general term of the sequence \(9,24,47,78,\ldots\)?
A. \(a_n=4n^2+3n+2\)
\(4n^2+3n+2\) से (9,24,47,78) मिलते हैं। परीक्षा में दूसरे अंतर समान हों तो वर्गीय नियम जाँचें। / \(4n^2+3n+2\) gives (9,24,47,78). In exams, check a quadratic rule when second differences are constant.
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If \(a_n=3\cdot2^n-n\), what is the value of \(a_5\)?
B. (91)
\(a_5=3\cdot32-5=91\) है। परीक्षा में घात के बाद वर्तमान (n) घटाएँ। / \(a_5=3\cdot32-5=91\). In exams, subtract the current (n) after finding the power.
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Which explicit rule is correct for the sequence \(5,10,21,44,\ldots\)?
A. \(a_n=3\cdot2^n-n\)
\(3\cdot2^n-n\) से (5,10,21,44) मिलते हैं। परीक्षा में घात और घटते (n) दोनों देखें। / \(3\cdot2^n-n\) gives (5,10,21,44). In exams, check both the power and the subtracted (n).
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If \(a_n=5n^2-6n+4\), what is the value of \(a_5+a_2\)?
A. (107)
\(a_5=99\) और \(a_2=8\), इसलिए योग (107) है। परीक्षा में वर्गीय सूत्र में चिह्न सावधानी से रखें। / \(a_5=99\) and \(a_2=8\), so the sum is (107). In exams, handle signs carefully in a quadratic formula.
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What is the general term of the sequence \(6,20,42,72,\ldots\)?
D. \(a_n=4n^2+2n\)
\(4n^2+2n\) से (6,20,42,72) मिलते हैं। परीक्षा में पहले चार पदों पर नियम जाँचें। / \(4n^2+2n\) gives (6,20,42,72). In exams, test the rule on the first four terms.
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