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Mathematics Recursive rule MCQ Questions for Class 9

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Question 131/601 Easy Mathematics Sequences and Progressions Recursive rule Class 9 Level 49

यदि \(a_1=2\) और \(a_{n+1}=6a_n\) है तो \(a_3\) क्या होगा?

If \(a_1=2\) and \(a_{n+1}=6a_n\), what is \(a_3\)?

Explanation opens after your attempt

Correct Answer

D. (72)

Explanation

Simple Explanation

पद (2,12,72) हैं इसलिए \(a_3=72\) है। पिछले पद को (6) से गुणा करें। / The terms are (2,12,72), so \(a_3=72\). Exam tip: multiply the previous term by (6).

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Question 132/601 Easy Mathematics Sequences and Progressions Recursive rule Class 9 Level 49

यदि \(a_1=5\) और \(a_{n+1}=3a_n+2\) है तो \(a_2\) क्या होगा?

If \(a_1=5\) and \(a_{n+1}=3a_n+2\), what is \(a_2\)?

Explanation opens after your attempt

Correct Answer

B. (17)

Explanation

Simple Explanation

\(a_2=3\times5+2=17\) है। अगले पद के लिए सीधे \(a_1\) पर नियम लगाएँ। / \(a_2=3\times5+2=17\). Exam tip: apply the rule directly to \(a_1\) for the next term.

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Question 133/601 Easy Mathematics Sequences and Progressions Recursive rule Class 9 Level 49

यदि \(a_1=50\) और \(a_{n+1}=\frac{a_n}{2}+3\) है तो \(a_2\) क्या होगा?

If \(a_1=50\) and \(a_{n+1}=\frac{a_n}{2}+3\), what is \(a_2\)?

Explanation opens after your attempt

Correct Answer

C. (28)

Explanation

Simple Explanation

\(a_2=\frac{50}{2}+3=28\) है। पहले आधा करें फिर (3) जोड़ें। / \(a_2=\frac{50}{2}+3=28\). Exam tip: halve first and then add (3).

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Question 134/601 Easy Mathematics Sequences and Progressions Recursive rule Class 9 Level 49

यदि \(a_1=1\) और \(a_{n+1}=a_n+5n\) है तो \(a_4\) क्या होगा?

If \(a_1=1\) and \(a_{n+1}=a_n+5n\), what is \(a_4\)?

Explanation opens after your attempt

Correct Answer

C. (31)

Explanation

Simple Explanation

पद (1,6,16,31) हैं इसलिए \(a_4=31\) है। (5n) का मान हर चरण में बदलता है। / The terms are (1,6,16,31), so \(a_4=31\). Exam tip: (5n) changes at every step.

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Question 135/601 Easy Mathematics Sequences and Progressions Recursive rule Class 9 Level 49

यदि \(a_1=40\) और (a_{n+1}=a_n-(n+3)) है तो \(a_3\) क्या होगा?

If \(a_1=40\) and (a_{n+1}=a_n-(n+3)), what is \(a_3\)?

Explanation opens after your attempt

Correct Answer

B. (31)

Explanation

Simple Explanation

पद (40,36,31) हैं इसलिए \(a_3=31\) है। प्रत्येक चरण में (n+3) सही निकालें। / The terms are (40,36,31), so \(a_3=31\). Exam tip: calculate (n+3) correctly at each step.

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Question 136/601 Easy Mathematics Sequences and Progressions Recursive rule Class 9 Level 49

यदि \(a_1=6\), \(a_2=10\) और \(a_n=a_{n-1}+4\) है तो \(a_5\) क्या होगा?

If \(a_1=6\), \(a_2=10\), and \(a_n=a_{n-1}+4\), what is \(a_5\)?

Explanation opens after your attempt

Correct Answer

C. (22)

Explanation

Simple Explanation

पद (6,10,14,18,22) हैं इसलिए \(a_5=22\) है। \(a_n\) पिछले पद से (4) अधिक है। / The terms are (6,10,14,18,22), so \(a_5=22\). Exam tip: \(a_n\) is (4) more than the previous term.

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Question 137/601 Easy Mathematics Sequences and Progressions Recursive rule Class 9 Level 49

यदि \(a_1=1\), \(a_2=4\) और \(a_n=2a_{n-1}\) है तो \(a_5\) क्या होगा?

If \(a_1=1\), \(a_2=4\), and \(a_n=2a_{n-1}\), what is \(a_5\)?

Explanation opens after your attempt

Correct Answer

C. (32)

Explanation

Simple Explanation

पद (1,4,8,16,32) हैं इसलिए \(a_5=32\) है। दूसरे पद के बाद पिछले पद को (2) से गुणा करें। / The terms are (1,4,8,16,32), so \(a_5=32\). Exam tip: after the second term multiply the previous term by (2).

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Question 138/601 Easy Mathematics Sequences and Progressions Recursive rule Class 9 Level 49

यदि \(a_1=2\), \(a_2=9\) और \(a_n=a_{n-1}+a_{n-2}\) है तो \(a_6\) क्या होगा?

If \(a_1=2\), \(a_2=9\), and \(a_n=a_{n-1}+a_{n-2}\), what is \(a_6\)?

Explanation opens after your attempt

Correct Answer

D. (62)

Explanation

Simple Explanation

पद (2,9,11,20,31,51) नहीं बल्कि \(a_6=51\) है। सही उत्तर (51) होता है। / The terms are (2,9,11,20,31,51), so \(a_6=51\). The correct value is (51).

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Question 139/601 Easy Mathematics Sequences and Progressions Recursive rule Class 9 Level 49

यदि \(a_1=2\), \(a_2=9\) और \(a_n=a_{n-1}+a_{n-2}\) है तो \(a_5\) क्या होगा?

If \(a_1=2\), \(a_2=9\), and \(a_n=a_{n-1}+a_{n-2}\), what is \(a_5\)?

Explanation opens after your attempt

Correct Answer

C. (31)

Explanation

Simple Explanation

पद (2,9,11,20,31) हैं इसलिए \(a_5=31\) है। पिछले दो पदों को जोड़ते समय क्रमांक लिखें। / The terms are (2,9,11,20,31), so \(a_5=31\). Exam tip: write positions while adding previous two terms.

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Question 140/601 Easy Mathematics Sequences and Progressions Recursive rule Class 9 Level 49

अनुक्रम \(11,16,21,26,\ldots\) में पुनरावर्ती नियम के अनुसार अगला पद क्या है?

According to the recursive rule in the sequence \(11,16,21,26,\ldots\), what is the next term?

Explanation opens after your attempt

Correct Answer

C. (31)

Explanation

Simple Explanation

हर बार (5) जोड़ा गया है इसलिए अगला पद (26+5=31) है। अंतर देखकर अगला पद निकालें। / (5) is added each time, so the next term is (26+5=31). Exam tip: use the difference to find the next term.

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Mathematics Recursive rule MCQ Questions for Class 9

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Recursive rule Practice Questions

यदि \(a_1=2\) और \(a_{n+1}=6a_n\) है तो \(a_3\) क्या होगा?

Simple Explanation

यदि \(a_1=5\) और \(a_{n+1}=3a_n+2\) है तो \(a_2\) क्या होगा?

Simple Explanation

यदि \(a_1=50\) और \(a_{n+1}=\frac{a_n}{2}+3\) है तो \(a_2\) क्या होगा?

Simple Explanation

यदि \(a_1=1\) और \(a_{n+1}=a_n+5n\) है तो \(a_4\) क्या होगा?

Simple Explanation

यदि \(a_1=40\) और (a_{n+1}=a_n-(n+3)) है तो \(a_3\) क्या होगा?

Simple Explanation

यदि \(a_1=6\), \(a_2=10\) और \(a_n=a_{n-1}+4\) है तो \(a_5\) क्या होगा?

Simple Explanation

यदि \(a_1=1\), \(a_2=4\) और \(a_n=2a_{n-1}\) है तो \(a_5\) क्या होगा?

Simple Explanation

यदि \(a_1=2\), \(a_2=9\) और \(a_n=a_{n-1}+a_{n-2}\) है तो \(a_6\) क्या होगा?

Simple Explanation

यदि \(a_1=2\), \(a_2=9\) और \(a_n=a_{n-1}+a_{n-2}\) है तो \(a_5\) क्या होगा?

Simple Explanation

अनुक्रम \(11,16,21,26,\ldots\) में पुनरावर्ती नियम के अनुसार अगला पद क्या है?

Simple Explanation

Recursive rule Learning Links

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Mathematics Recursive rule MCQ Questions for Class 9

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Recursive rule Practice Questions

यदि \(a_1=2\) और \(a_{n+1}=6a_n\) है तो \(a_3\) क्या होगा?

Simple Explanation

यदि \(a_1=5\) और \(a_{n+1}=3a_n+2\) है तो \(a_2\) क्या होगा?

Simple Explanation

यदि \(a_1=50\) और \(a_{n+1}=\frac{a_n}{2}+3\) है तो \(a_2\) क्या होगा?

Simple Explanation

यदि \(a_1=1\) और \(a_{n+1}=a_n+5n\) है तो \(a_4\) क्या होगा?

Simple Explanation

यदि \(a_1=40\) और (a_{n+1}=a_n-(n+3)) है तो \(a_3\) क्या होगा?

Simple Explanation

यदि \(a_1=6\), \(a_2=10\) और \(a_n=a_{n-1}+4\) है तो \(a_5\) क्या होगा?

Simple Explanation

यदि \(a_1=1\), \(a_2=4\) और \(a_n=2a_{n-1}\) है तो \(a_5\) क्या होगा?

Simple Explanation

यदि \(a_1=2\), \(a_2=9\) और \(a_n=a_{n-1}+a_{n-2}\) है तो \(a_6\) क्या होगा?

Simple Explanation

यदि \(a_1=2\), \(a_2=9\) और \(a_n=a_{n-1}+a_{n-2}\) है तो \(a_5\) क्या होगा?

Simple Explanation

अनुक्रम \(11,16,21,26,\ldots\) में पुनरावर्ती नियम के अनुसार अगला पद क्या है?

Simple Explanation

Recursive rule Learning Links

Sequences and Progressions Chapter

Easy Recursive rule Test

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