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 231-240 of 600 questions.
If \(a_n=\frac{2n+3}{5}\) then what is the value of \(a_6\)?
B. (3)
\(a_6=\frac{15}{5}=3\) है। परीक्षा में पहले अंश को सरल करें और फिर भाग दें। / \(a_6=\frac{15}{5}=3\). In exams simplify the numerator first and then divide.
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What is the general term of the sequence \(1,\frac{7}{5},\frac{9}{5},\frac{11}{5},\ldots\)?
B. \(a_n=\frac{2n+3}{5}\)
\(\frac{2n+3}{5}\) से दिए पद मिलते हैं। परीक्षा में भिन्न पदों को छोटे (n) मानों से मिलाएँ। / \(\frac{2n+3}{5}\) gives the given terms. In exams match fractional terms using small values of (n).
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If \(a_n=10n+1\) then what is the value of \(a_2+a_6\)?
B. (82)
\(a_2=21\) और \(a_6=61\) इसलिए योग (82) है। परीक्षा में योग से पहले दोनों पद सही निकालें। / \(a_2=21\) and \(a_6=61\) so the sum is (82). In exams find both terms correctly before adding.
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What is the general term of the sequence \(11,21,31,41,\ldots\)?
B. \(a_n=10n+1\)
पहला पद (11) और अंतर (10) है इसलिए \(a_n=10n+1\) है। परीक्षा में पहले पद से स्थिर भाग निकालें। / The first term is (11) and the difference is (10) so \(a_n=10n+1\). In exams find the constant part from the first term.
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If \(a_n=4n^2+1\) then what is the value of \(a_3+a_4\)?
C. (102)
\(a_3=37\) और \(a_4=65\) इसलिए योग (102) है। परीक्षा में वर्ग का मान ध्यान से निकालें। / \(a_3=37\) and \(a_4=65\) so the sum is (102). In exams calculate the square carefully.
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Which general term is correct for the sequence \(5,17,37,65,\ldots\)?
B. \(a_n=4n^2+1\)
\(4n^2+1\) से (5,17,37,65) मिलते हैं। परीक्षा में दूसरे अंतर समान देखकर वर्गीय नियम जाँचें। / \(4n^2+1\) gives (5,17,37,65). In exams check a quadratic rule when second differences are constant.
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If \(a_n=2^n-n\) then what is the value of \(a_5\)?
C. (27)
\(a_5=32-5=27\) है। परीक्षा में घात से वर्तमान (n) घटाएँ। / \(a_5=32-5=27\). In exams subtract the current (n) from the power.
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What is the general term of the sequence \(1,2,5,12,\ldots\)?
A. \(a_n=2^n-n\)
\(2^n-n\) से (1,2,5,12) मिलते हैं। परीक्षा में घात वाले नियम में पद संख्या घटाना भी जाँचें। / \(2^n-n\) gives (1,2,5,12). In exams also check subtraction of the term number in power-based rules.
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If \(a_n=3^n-2n\) then what is the value of \(a_3\)?
B. (21)
\(a_3=27-6=21\) है। परीक्षा में घात निकालकर (2n) घटाएँ। / \(a_3=27-6=21\). In exams find the power and subtract (2n).
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Which explicit rule is correct for the sequence \(1,5,21,73,\ldots\)?
C. \(a_n=3^n-2n\)
\(3^n-2n\) से (1,5,21,73) मिलते हैं। परीक्षा में घात में से रैखिक पद घटाकर भी विकल्प जाँचें। / \(3^n-2n\) gives (1,5,21,73). In exams also test options where a linear term is subtracted from a power.
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