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 551-560 of 600 questions.
If \(a_n=5n^2-3n+2\), what is the value of \(a_4\)?
C. (70)
\(a_4=5\times16-12+2=70\) है। परीक्षा में वर्ग वाला भाग और घटाव अलग-अलग करें। / \(a_4=5\times16-12+2=70\). In exams, handle the square part and subtraction separately.
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Which explicit rule is correct for the sequence \(7,24,51,88,\ldots\)?
A. \(a_n=5n^2+2n\)
\(5n^2+2n\) रखने पर दिए पद मिलते हैं। परीक्षा में (n=1,2,3) रखकर विकल्प मिलाएँ। / Using \(5n^2+2n\) gives the given terms. In exams, substitute (n=1,2,3) to match options.
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If \(a_n=3n^2+4n-5\), what is the value of \(a_6\)?
C. (127)
\(a_6=3\times36+24-5=127\) है। परीक्षा में धन और ऋण पदों को अलग लिखें। / \(a_6=3\times36+24-5=127\). In exams, write positive and negative terms separately.
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What is the general term of the sequence \(2,11,26,47,\ldots\)?
B. \(a_n=3n^2-1\)
\(3n^2-1\) से (2,11,26,47) मिलते हैं। परीक्षा में दूसरे अंतर देखकर वर्गीय नियम पहचानें। / \(3n^2-1\) gives (2,11,26,47). In exams, identify a quadratic rule from second differences.
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If (a_n=\frac{n(4n+1)}{2}), what is the value of \(a_5\)?
C. \(\frac{105}{2}\)
\(a_5=\frac{5\times21}{2}=\frac{105}{2}\) है। परीक्षा में पहले कोष्ठक का मान निकालें। / \(a_5=\frac{5\times21}{2}=\frac{105}{2}\). In exams, find the bracket value first.
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Which general term is correct for the sequence \(\frac{5}{2},9,\frac{39}{2},34,\ldots\)?
A. (a_n=\frac{n(4n+1)}{2})
(\frac{n(4n+1)}{2}) से दिए पद मिलते हैं। परीक्षा में भिन्न पदों को भी छोटे (n) से जाँचें। / (\frac{n(4n+1)}{2}) gives the given terms. In exams, test fractional terms with small (n).
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If (a_n=(3n-2)2), what is the value of \(a_4\)?
B. (100)
(a_4=(12-2)2=100) है। परीक्षा में कोष्ठक का मान पहले निकालें। / (a_4=(12-2)2=100). In exams, find the value inside the bracket first.
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Which explicit rule is correct for the sequence \(1,16,49,100,\ldots\)?
A. (a_n=(3n-2)2)
(3n-2) के वर्ग से (1,16,49,100) मिलते हैं। परीक्षा में पहले आधार बनाकर फिर वर्ग करें। / The squares of (3n-2) give (1,16,49,100). In exams, form the base first and then square it.
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If \(a_n=150-11n\), what is the value of \(a_7\)?
B. (73)
\(a_7=150-77=73\) है। परीक्षा में घटते सूत्र में गुणन पहले करें। / \(a_7=150-77=73\). In exams, multiply first in a decreasing formula.
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What is the general term of the sequence \(139,128,117,106,\ldots\)?
B. \(a_n=150-11n\)
(n=1) पर (139) और (n=2) पर (128) मिलता है, इसलिए \(a_n=150-11n\) है। परीक्षा में घटते अनुक्रम का पहला पद मिलाएँ। / At (n=1) it gives (139), and at (n=2) it gives (128), so \(a_n=150-11n\). In exams, match the first term of a decreasing sequence.
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