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 321-330 of 600 questions.
If (a_n=\frac{n(n+4)}{2}) then what is the value of \(a_8\)?
C. (48)
\(a_8=\frac{8\times12}{2}=48\) है। परीक्षा में पहले गुणन करें और फिर (2) से भाग दें। / \(a_8=\frac{8\times12}{2}=48\). In exams multiply first and then divide by (2).
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Which is \(a_n\) for the sequence \(5,11,19,29,\ldots\)?
B. \(n^2+2n+2\)
दूसरे अंतर समान (2) हैं इसलिए नियम द्विघात हो सकता है। \(n^2+2n+2\) से सभी दिए पद मिलते हैं। / The second differences are equal to (2), so the rule can be quadratic. \(n^2+2n+2\) gives all given terms.
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What is the general term of the sequence \(\frac{5}{2},6,\frac{21}{2},16,\ldots\)?
A. (a_n=\frac{n(n+4)}{2})
(\frac{n(n+4)}{2}) रखने पर दिए पद मिलते हैं। परीक्षा में भिन्न पदों को छोटे (n) मानों से जाँचें। / Using (\frac{n(n+4)}{2}) gives the given terms. In exams check fractional terms using small (n) values.
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If \(a_n=2^n+1\), what is \(a_6\)?
C. (65)
\(2^6+1=64+1=65\) है। घात वाले नियमों में घात पहले निकालें। / \(2^6+1=64+1=65\). In exponential rules, evaluate the power first.
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If \(a_n=2^n+3n-2\) then what is the value of \(a_4\)?
B. (26)
\(a_4=16+12-2=26\) है। परीक्षा में घात और रैखिक भाग दोनों सही रखें। / \(a_4=16+12-2=26\). In exams keep both the power and linear part correct.
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What is the general term of the sequence \(10,7,4,1,\ldots\)?
A. (13-3n)
पहला पद (10) और अंतर (-3) है। इसलिए (a_n=10+(n-1)(-3)=13-3n)। / The first term is (10) and the difference is (-3). Hence (a_n=10+(n-1)(-3)=13-3n).
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Which explicit rule is correct for the sequence \(3,8,17,36,\ldots\)?
A. \(a_n=2^n+3n-2\)
\(2^n+3n-2\) से (3,8,17,36) मिलते हैं। परीक्षा में घात वाले नियम में अतिरिक्त रैखिक भाग भी जाँचें। / \(2^n+3n-2\) gives (3,8,17,36). In exams also check the extra linear part in a power-based rule.
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If \(a_n=6n-4\), which term will be equal to (62)?
C. (11)वां(11)th
(6n-4=62) से (6n=66) और (n=11) मिलता है। परीक्षा में पद संख्या के लिए \(a_n\) को दिए मान के बराबर रखें। / From (6n-4=62), (6n=66) and (n=11). For term position, equate \(a_n\) to the given value.
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If \(a_n=6n^2-5n+2\) then what is \(a_4:a_2\)?
B. (39:8)
\(a_4=78\) और \(a_2=16\) इसलिए सरल अनुपात (39:8) है। परीक्षा में अनुपात को सरल करना न भूलें। / \(a_4=78\) and \(a_2=16\) so the simplified ratio is (39:8). In exams do not forget to simplify the ratio.
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Which is the general rule for the sequence \(2,6,12,20,\ldots\)?
A. (n(n+1))
पद \(1\cdot2,2\cdot3,3\cdot4,4\cdot5\) हैं। इसलिए (a_n=n(n+1)) सही है। / The terms are \(1\cdot2,2\cdot3,3\cdot4,4\cdot5\). Therefore (a_n=n(n+1)) is correct.
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