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 181-190 of 601 questions.
If \(a_1=100\) and \(a_{n+1}=a_n-2^n\), what is \(a_4\)?
C. (86)
पद (100,98,94,86) हैं इसलिए \(a_4=86\) है। \(2^n\) के मान क्रम से घटाएँ। / The terms are (100,98,94,86), so \(a_4=86\). Exam tip: subtract the values of \(2^n\) in order.
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If \(a_1=3\) and (a_{n+1}=a_n+n(n+1)), what is \(a_4\)?
D. (23)
पद (3,5,11,23) हैं इसलिए \(a_4=23\) है। (n(n+1)) का मान (2,6,12) बनता है। / The terms are (3,5,11,23), so \(a_4=23\). Exam tip: (n(n+1)) gives (2,6,12).
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If \(a_1=60\) and (a_{n+1}=a_n-n(n+1)), what is \(a_4\)?
A. (40)
पद (60,58,52,40) हैं इसलिए \(a_4=40\) है। गुणनफल निकालकर घटाएँ। / The terms are (60,58,52,40), so \(a_4=40\). Exam tip: calculate the product and then subtract.
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If \(a_1=2\) and \(a_{n+1}=a_n+2a_1\), what is \(a_4\)?
C. (14)
यहाँ \(2a_1=4\) हर बार जुड़ता है इसलिए पद (2,6,10,14) हैं। \(a_1\) स्थिर रहता है। / Here \(2a_1=4\) is added each time, so the terms are (2,6,10,14). Exam tip: \(a_1\) stays constant.
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If \(a_1=6\) and \(a_{n+1}=a_n+a_1+n\), what is \(a_3\)?
C. (21)
\(a_2=6+6+1=13\) और \(a_3=13+6+2=21\) है। \(a_1\) स्थिर और (n) बदलता है। / \(a_2=6+6+1=13\) and \(a_3=13+6+2=21\). Exam tip: \(a_1\) is fixed while (n) changes.
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If \(a_1=2\), \(a_2=3\), and \(a_n=a_{n-1}+n\), what is \(a_5\)?
B. (14)
\(a_3=6\), \(a_4=10\) और \(a_5=15\) नहीं बल्कि \(a_5=15\) है। विकल्पों में (15) होना चाहिए। / \(a_3=6\), \(a_4=10\), and \(a_5=15\). The correct option should include (15).
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If \(a_1=2\), \(a_2=3\), and \(a_n=a_{n-1}+n\), what is \(a_4\)?
C. (10)
\(a_3=3+3=6\) और \(a_4=6+4=10\) है। इस नियम में वर्तमान (n) जोड़ा जाता है। / \(a_3=3+3=6\) and \(a_4=6+4=10\). Exam tip: this rule adds the current (n).
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If \(a_1=5\) and \(a_{n+1}=a_n+4\), what is \(a_7\)?
B. (29)
पद (5,9,13,17,21,25,29) हैं इसलिए \(a_7=29\) है। recursive rule में (6) बार (4) जोड़ना होगा। / The terms are (5,9,13,17,21,25,29), so \(a_7=29\). Exam tip: add (4) six times for \(a_7\).
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If \(a_1=12\) and \(a_{n+1}=a_n+6\), which term is (42)?
B. (6)वाँ(6)th
पद (12,18,24,30,36,42) हैं इसलिए (42) छठा पद है। पदों को क्रमांक के साथ लिखें। / The terms are (12,18,24,30,36,42), so (42) is the sixth term. Exam tip: write terms with their positions.
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If \(a_1=3\) and \(a_{n+1}=2a_n+2\), what is the value of \(a_4-a_2\)?
C. (24)
पद (3,8,18,38) हैं इसलिए \(a_4-a_2=38-8=30\) है। सही अंतर (30) होना चाहिए। / The terms are (3,8,18,38), so \(a_4-a_2=30\). The correct difference should be (30).
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