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 41-50 of 601 questions.
For the sequence \(6,12,18,24,\ldots\), \(a_1=6\). What is added in the recursive rule?
C. (6)
हर अगला पद पिछले से (6) अधिक है। इसलिए नियम \(a_{n+1}=a_n+6\) होगा। / Each next term is (6) more than the previous term. So the rule is \(a_{n+1}=a_n+6\).
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For the sequence \(18,15,12,9,\ldots\), what is subtracted in the recursive rule?
B. (3)
हर अगला पद पिछले से (3) कम है। इसलिए \(a_{n+1}=a_n-3\) होगा। / Each next term is (3) less than the previous term. So \(a_{n+1}=a_n-3\).
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In the sequence \(3,9,27,81,\ldots\), what is the multiplier in the recursive rule?
B. (3)
हर अगला पद पिछले पद का (3) गुना है। इसलिए गुणक (3) है। / Each next term is (3) times the previous term. Therefore the multiplier is (3).
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If \(a_1=11\) and \(a_{n+1}=a_n+7\), what is \(a_3\)?
B. (25)
पद (11,18,25) हैं इसलिए \(a_3=25\) है। दो बार (7) जोड़ना है। / The terms are (11,18,25), so \(a_3=25\). Exam tip: add (7) twice.
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If \(a_1=5\) and \(a_{n+1}=a_n+9\), what is the value of \(a_4\)?
C. (32)
पद (5,14,23,32) हैं इसलिए \(a_4=32\) है। समान जोड़ को हर चरण में दोहराएँ। / The terms are (5,14,23,32), so \(a_4=32\). Exam tip: repeat the constant addition at every step.
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If \(a_1=90\) and \(a_{n+1}=\frac{a_n}{3}\), what is \(a_4\)?
B. (10)
पद \(90,30,10,\frac{10}{3}\) नहीं बल्कि \(a_3=10\) और \(a_4=\frac{10}{3}\) है। इसलिए विकल्पों में सही मान नहीं है। / The terms are \(90,30,10,\frac{10}{3}\), so \(a_4=\frac{10}{3}\). None of the listed options is correct.
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If \(a_1=90\) and \(a_{n+1}=\frac{a_n}{3}\), what is \(a_3\)?
A. (10)
पद (90,30,10) हैं इसलिए \(a_3=10\) है। भाग वाले नियम में हर बार पिछले पद को (3) से भाग दें। / The terms are (90,30,10), so \(a_3=10\). Exam tip: divide the previous term by (3) each time.
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If \(a_1=2\) and \(a_{n+1}=a_n+n+1\), what is \(a_4\)?
C. (11)
पद (2,4,7,11) हैं इसलिए \(a_4=11\) है। (n+1) हर चरण में बदलता है। / The terms are (2,4,7,11), so \(a_4=11\). Exam tip: (n+1) changes at every step.
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If \(a_1=3\) and \(a_{n+1}=a_n+2n+2\), what is \(a_3\)?
C. (13)
\(a_2=3+4=7\) और \(a_3=7+6=13\) है। प्रत्येक चरण में (n) का नया मान लगाएँ। / \(a_2=3+4=7\) and \(a_3=7+6=13\). Exam tip: use the new value of (n) at each step.
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If \(a_1=4\), \(a_2=6\), and \(a_n=a_{n-1}+a_{n-2}\), what is \(a_5\)?
C. (26)
पद (4,6,10,16,26) मिलते हैं इसलिए \(a_5=26\) है। पिछले दो पदों को सही क्रम में जोड़ें। / The terms are (4,6,10,16,26), so \(a_5=26\). Exam tip: add the previous two terms in the correct order.
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