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 161-170 of 600 questions.
If (a_n=n(n+1)), what is the value of \(a_7\)?
A. (56)
\(a_7=7\times8=56\) है। परीक्षा में (n) और (n+1) दोनों को सही रखें। / \(a_7=7\times8=56\). In exams, keep both (n) and (n+1) correct.
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What is the general term of the sequence \(2,4,7,11,\ldots\)?
C. (a_n=\frac{n(n+1)}{2}+1)
त्रिभुज संख्या में (1) जोड़ने से (2,4,7,11) मिलते हैं। परीक्षा में अंतर (2,3,4) दिखे तो त्रिभुज संख्या सोचें। / Adding (1) to triangular numbers gives (2,4,7,11). In exams, think of triangular numbers when differences are (2,3,4).
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If (a_n=\frac{n(n+1)}{2}+1), what is the value of \(a_5\)?
B. (16)
\(a_5=\frac{5\times6}{2}+1=16\) है। परीक्षा में भिन्न भाग सरल करके अंत में (1) जोड़ें। / \(a_5=\frac{5\times6}{2}+1=16\). In exams, simplify the fractional part and add (1) at the end.
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What is the general term of the sequence \(0,3,8,15,\ldots\)?
A. \(a_n=n^2-1\)
\(n^2-1\) से (0,3,8,15) मिलते हैं। परीक्षा में वर्ग संख्याओं से (1) घटाकर मिलान करें। / \(n^2-1\) gives (0,3,8,15). In exams, match by subtracting (1) from square numbers.
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If \(a_n=n^2-1\), which term will be equal to (35)?
D. (n=6)
\(n^2-1=35\) से \(n^2=36\) और (n=6) मिलता है। परीक्षा में वर्ग पूरा करके पद संख्या निकालें। / From \(n^2-1=35\), we get \(n^2=36\) and (n=6). In exams, complete the square value to find the term number.
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Which explicit rule is correct for the sequence \(3,5,9,17,\ldots\)?
C. \(a_n=2^n+1\)
\(2^n+1\) से (3,5,9,17) मिलते हैं। परीक्षा में घात वाले विकल्पों में स्थिर जोड़ भी जाँचें। / \(2^n+1\) gives (3,5,9,17). In exams, also check constant addition in power-based options.
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If \(a_n=2^n+1\), what is the value of \(a_5\)?
A. (33)
\(a_5=2^5+1=33\) है। परीक्षा में पहले घात निकालें और फिर (1) जोड़ें। / \(a_5=2^5+1=33\). In exams, find the power first and then add (1).
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What is the general term of the sequence \(5,11,29,83,\ldots\)?
B. \(a_n=3^n+2\)
\(3^n+2\) से (5,11,29,83) मिलते हैं। परीक्षा में तेज वृद्धि वाले अनुक्रमों में घात जाँचें। / \(3^n+2\) gives (5,11,29,83). In exams, check powers in rapidly increasing sequences.
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If \(a_n=3^n+2\), what is the value of \(a_3\)?
D. (29)
\(a_3=3^3+2=29\) है। परीक्षा में घात के बाद स्थिर संख्या जोड़ें। / \(a_3=3^3+2=29\). In exams, add the constant after finding the power.
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Which general term is correct for the sequence \(6,18,54,162,\ldots\)?
C. \(a_n=2\cdot3^n\)
\(2\cdot3^n\) से (6,18,54,162) मिलते हैं। परीक्षा में गुणोत्तर वृद्धि के लिए आधार की घात जाँचें। / \(2\cdot3^n\) gives (6,18,54,162). In exams, check powers of the base for geometric growth.
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