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 341-350 of 600 questions.
If \(a_n=n^3+2n^2-n\) then what is the value of \(a_4\)?
C. (92)
\(a_4=64+32-4=92\) है। परीक्षा में घन और वर्ग दोनों अलग-अलग निकालें। / \(a_4=64+32-4=92\). In exams calculate the cube and square separately.
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What is the general term of the sequence \(6,11,18,27,\ldots\)?
A. \(n^2+5\)
(n=1,2,3,4) रखने पर \(n^2+5\) से (6,9,14,21) नहीं बल्कि विकल्प जांच में गलती दिखती है। सही पद (6,11,18,27) के लिए \(n^2+2n+3\) चाहिए। / This option set has a mismatch because \(n^2+5\) gives (6,9,14,21), not the given sequence. The correct rule for (6,11,18,27) is \(n^2+2n+3\).
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What is the general term of the sequence \(2,14,51,140,\ldots\)?
A. \(a_n=n^3+2n^2-n\)
\(n^3+2n^2-n\) से (2,14,51,140) मिलते हैं। परीक्षा में घन आधारित नियमों को छोटे (n) से जाँचें। / \(n^3+2n^2-n\) gives (2,14,51,140). In exams test cube-based rules with small (n).
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If \(a_n=90-8n\) then what is the value of \(a_2-a_9\)?
C. (56)
\(a_2=74\) और \(a_9=18\) इसलिए अंतर (56) है। परीक्षा में घटते सूत्र में दोनों पद सावधानी से निकालें। / \(a_2=74\) and \(a_9=18\) so the difference is (56). In exams find both terms carefully in a decreasing formula.
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Which explicit rule is correct for the sequence \(82,74,66,58,\ldots\)?
B. \(a_n=90-8n\)
(n=1) पर (82) और (n=2) पर (74) मिलता है इसलिए \(a_n=90-8n\) है। परीक्षा में घटते अनुक्रम के पहले दो पद जाँचें। / At (n=1) it gives (82) and at (n=2) it gives (74) so \(a_n=90-8n\). In exams check the first two terms of a decreasing sequence.
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If \(a_n=7n^2+2n-5\) then which statement is correct?
A. \(a_2=27\) और \(a_3=64\)\(a_2=27\) and \(a_3=64\)
\(a_2=28+4-5=27\) और \(a_3=63+6-5=64\) है। परीक्षा में हर पद के लिए (n) का नया मान रखें। / \(a_2=28+4-5=27\) and \(a_3=63+6-5=64\). In exams use a new value of (n) for each term.
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What is the general term of the sequence \(4,27,64,115,\ldots\)?
A. \(a_n=7n^2+2n-5\)
\(7n^2+2n-5\) से (4,27,64,115) मिलते हैं। परीक्षा में दूसरे अंतर समान देखकर वर्गीय नियम चुनें। / \(7n^2+2n-5\) gives (4,27,64,115). In exams choose a quadratic rule when second differences are constant.
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If \(a_n=4^n+2n-5\) then what is the value of \(a_3\)?
C. (65)
\(a_3=64+6-5=65\) है। परीक्षा में घात और रैखिक भाग दोनों जाँचें। / \(a_3=64+6-5=65\). In exams check both the power and the linear part.
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Which general term is correct for the sequence \(1,15,65,259,\ldots\)?
A. \(a_n=4^n+2n-5\)
\(4^n+2n-5\) से (1,15,65,259) मिलते हैं। परीक्षा में घात वाले नियमों में स्थिर घटाव भी जाँचें। / \(4^n+2n-5\) gives (1,15,65,259). In exams also check constant subtraction in power-based rules.
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If \(a_n=3n^2+8n-6\) then what is the value of \(a_5+a_1\)?
B. (112)
\(a_5=109\) और \(a_1=5\) इसलिए योग (114) नहीं बल्कि (114) है। परीक्षा में अंतिम विकल्प चुनने से पहले योग दोबारा जाँचें। / \(a_5=109\) and \(a_1=5\) so the sum is (114). In exams recheck the sum before choosing the final option.
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