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 61-70 of 600 questions.
Which rule is correct for the sequence \(5,25,125,625,\ldots\)?
B. \(a_n=5^n\)
ये पद (5) की क्रमिक घातें हैं। परीक्षा में (5,25,125) देखकर \(5^n\) जाँचें। / These terms are consecutive powers of (5). In exams, check \(5^n\) when you see (5,25,125).
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If \(a_n=3n^2\), what is the value of \(a_4\)?
C. (48)
\(a_4=3\times4^2=48\) है। परीक्षा में वर्ग निकालकर (3) से गुणा करें। / \(a_4=3\times4^2=48\). In exams, square first and then multiply by (3).
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What is the general term of the sequence \(3,12,27,48,\ldots\)?
A. \(a_n=3n^2\)
ये पद \(3n^2\) से मिलते हैं। परीक्षा में वर्ग आधारित नियम को पहले तीन पदों पर जाँचें। / These terms come from \(3n^2\). In exams, test the square-based rule on the first three terms.
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If \(a_n=\frac{3n}{2}\), what is the value of \(a_4\)?
C. (6)
\(a_4=\frac{3\times4}{2}=6\) है। परीक्षा में भिन्न को सरल करके उत्तर दें। / \(a_4=\frac{3\times4}{2}=6\). In exams, simplify the fraction before answering.
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What is the general term of the sequence \(\frac{3}{2},3,\frac{9}{2},6,\ldots\)?
B. \(a_n=\frac{3n}{2}\)
हर पद \(\frac{3}{2}\) का अगला गुणज है। परीक्षा में भिन्न गुणजों को (kn) के रूप में लिखें। / Each term is the next multiple of \(\frac{3}{2}\). In exams, write fractional multiples as (kn).
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If \(a_n=2n-3\), which term will be equal to (15)?
C. (n=9)
(2n-3=15) से (n=9) मिलता है। परीक्षा में पद संख्या पूछी जाए तो सूत्र को दिए मान के बराबर रखें। / From (2n-3=15), we get (n=9). In exams, equate the formula to the given value when term number is asked.
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In the sequence \(-1,1,3,5,\ldots\), which term is (15)?
C. नौवाँ पद(9)th term
इसका नियम \(a_n=2n-3\) है और (2n-3=15) से (n=9) है। परीक्षा में पहले सामान्य पद बनाकर पद संख्या निकालें। / Its rule is \(a_n=2n-3\), and (2n-3=15) gives (n=9). In exams, form the general term first to find the term number.
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If \(a_n=n^3\), what is the value of \(a_3\)?
C. (27)
\(a_3=3^3=27\) है। परीक्षा में घन निकालते समय संख्या को तीन बार गुणा करें। / \(a_3=3^3=27\). In exams, multiply the number three times when finding a cube.
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What is the general term of the sequence \(1,8,27,64,\ldots\)?
B. \(a_n=n^3\)
ये पूर्ण घन हैं, इसलिए \(a_n=n^3\) है। परीक्षा में (1,8,27,64) को घन संख्याओं के रूप में पहचानें। / These are perfect cubes, so \(a_n=n^3\). In exams, recognize (1,8,27,64) as cube numbers.
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If \(a_n=n^3+1\), what is the value of \(a_2\)?
C. (9)
\(a_2=2^3+1=9\) है। परीक्षा में पहले घन निकालें और फिर (1) जोड़ें। / \(a_2=2^3+1=9\). In exams, find the cube first and then add (1).
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