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 251-260 of 601 questions.
If \(a_1=5\) and \(a_{n+1}=a_n+2n+2\), what is \(a_5\)?
C. (33)
पद (5,9,15,23,33) हैं इसलिए \(a_5=33\) है। (2n+2) का मान हर चरण में बदलता है। / The terms are (5,9,15,23,33), so \(a_5=33\). Exam tip: the value of (2n+2) changes at each step.
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If \(a_1=60\) and (a_{n+1}=a_n-(3n+1)), what is \(a_4\)?
B. (39)
पद (60,56,49,39) हैं इसलिए \(a_4=39\) है। घटाने से पहले (3n+1) सही निकालें। / The terms are (60,56,49,39), so \(a_4=39\). Exam tip: calculate (3n+1) correctly before subtracting.
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If \(a_1=3\) and \(a_{n+1}=2a_n+n+1\), what is the value of \(a_4\)?
C. (43)
पद (3,8,20,43) हैं इसलिए \(a_4=43\) है। पहले पिछले पद को दोगुना करें फिर (n+1) जोड़ें। / The terms are (3,8,20,43), so \(a_4=43\). Exam tip: double the previous term first and then add (n+1).
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If \(a_1=7\) and \(a_{n+1}=3a_n-2n\), what is \(a_3\)?
D. (57)
\(a_2=3\times7-2=19\) और \(a_3=3\times19-4=53\) नहीं बल्कि \(a_3=53\) है। सही गणना में (n=2) पर (4) घटता है। / \(a_2=3\times7-2=19\) and \(a_3=3\times19-4=53\). Exam tip: when (n=2), subtract (4).
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If \(a_1=7\) and \(a_{n+1}=3a_n-2n\), what is \(a_2\)?
B. (19)
\(a_2=3\times7-2\times1=19\) है। अगले पद के लिए (n=1) रखें। / \(a_2=3\times7-2\times1=19\). Exam tip: use (n=1) for the next term.
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If \(a_1=2\), \(a_2=5\), and \(a_n=a_{n-1}+2a_{n-2}\), what is \(a_5\)?
B. (27)
पद (2,5,9,19,37) नहीं हैं क्योंकि \(a_5=19+2\times9=37\) होगा। इसलिए सही मान (37) है। / The terms give \(a_3=9\), \(a_4=19\), and \(a_5=37\). Exam tip: multiply \(a_{n-2}\) by (2) before adding.
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If \(a_1=2\), \(a_2=5\), and \(a_n=a_{n-1}+2a_{n-2}\), what is \(a_4\)?
B. (19)
\(a_3=5+2\times2=9\) और \(a_4=9+2\times5=19\) है। दो-पद नियम में क्रमांक साथ लिखें। / \(a_3=5+2\times2=9\) and \(a_4=9+2\times5=19\). Exam tip: write positions while using two-term rules.
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If \(a_1=4\), \(a_2=10\), and \(a_n=2a_{n-1}-a_{n-2}\), what is \(a_6\)?
D. (34)
पद (4,10,16,22,28,34) हैं इसलिए \(a_6=34\) है। यह नियम समान अंतर बनाए रखता है। / The terms are (4,10,16,22,28,34), so \(a_6=34\). Exam tip: this rule preserves a constant difference.
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If \(a_1=6\) and \(a_{n+1}=a_n+n^2+2n\), what is \(a_4\)?
C. (32)
पद (6,9,17,32) हैं इसलिए \(a_4=32\) है। \(n^2+2n\) का मान हर बार नया निकालें। / The terms are (6,9,17,32), so \(a_4=32\). Exam tip: calculate the new value of \(n^2+2n\) each time.
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If \(a_1=90\) and (a_{n+1}=a_n-\(n^2+n\)), what is \(a_4\)?
B. (70)
पद (90,88,82,70) हैं इसलिए \(a_4=70\) है। \(n^2+n\) के मान (2,6,12) क्रम से घटाएँ। / The terms are (90,88,82,70), so \(a_4=70\). Exam tip: subtract (2,6,12) in order.
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