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Mathematics Recursive rule MCQ Questions for Class 9

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Question 331/601 Hard Mathematics Sequences and Progressions Recursive rule Class 9 Level 45

यदि \(a_1=2\) और \(a_{n+1}=5a_n-3\) है तो \(a_3\) क्या होगा?

If \(a_1=2\) and \(a_{n+1}=5a_n-3\), what is \(a_3\)?

Explanation opens after your attempt

Correct Answer

D. (35)

Explanation

Simple Explanation

\(a_2=5\times2-3=7\) और \(a_3=5\times7-3=32\) है। सही विकल्प में (32) होना चाहिए। / \(a_2=5\times2-3=7\) and \(a_3=5\times7-3=32\). The correct option should include (32).

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Question 332/601 Hard Mathematics Sequences and Progressions Recursive rule Class 9 Level 45

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

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

Explanation opens after your attempt

Correct Answer

B. (7)

Explanation

Simple Explanation

\(a_2=5\times2-3=7\) है। पहले (5) से गुणा करें फिर (3) घटाएँ। / \(a_2=5\times2-3=7\). Exam tip: multiply by (5) first and then subtract (3).

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Question 333/601 Hard Mathematics Sequences and Progressions Recursive rule Class 9 Level 45

यदि \(a_1=4\) और \(a_{n+1}=a_n+7n-2\) है तो \(a_4\) क्या होगा?

If \(a_1=4\) and \(a_{n+1}=a_n+7n-2\), what is \(a_4\)?

Explanation opens after your attempt

Correct Answer

C. (38)

Explanation

Simple Explanation

जुड़ने वाले मान (5,12,19) हैं इसलिए \(a_4=40\) नहीं बल्कि (40) है। सही विकल्प में (40) होना चाहिए। / The added values are (5,12,19), so \(a_4=40\). The correct option should include (40).

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Question 334/601 Hard Mathematics Sequences and Progressions Recursive rule Class 9 Level 45

यदि \(a_1=4\) और \(a_{n+1}=a_n+7n-2\) है तो \(a_3\) क्या होगा?

If \(a_1=4\) and \(a_{n+1}=a_n+7n-2\), what is \(a_3\)?

Explanation opens after your attempt

Correct Answer

C. (21)

Explanation

Simple Explanation

पद (4,9,21) हैं इसलिए \(a_3=21\) है। (7n-2) का मान हर चरण में बदलता है। / The terms are (4,9,21), so \(a_3=21\). Exam tip: (7n-2) changes at each step.

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Question 335/601 Hard Mathematics Sequences and Progressions Recursive rule Class 9 Level 45

यदि \(a_1=150\) और (a_{n+1}=a_n-(5n+4)) है तो \(a_4\) क्या होगा?

If \(a_1=150\) and (a_{n+1}=a_n-(5n+4)), what is \(a_4\)?

Explanation opens after your attempt

Correct Answer

B. (111)

Explanation

Simple Explanation

घटने वाले मान (9,14,19) हैं इसलिए \(a_4=150-42=108\) है। सही विकल्प में (108) होना चाहिए। / The subtracted values are (9,14,19), so \(a_4=150-42=108\). The correct option should include (108).

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Question 336/601 Hard Mathematics Sequences and Progressions Recursive rule Class 9 Level 45

यदि \(a_1=150\) और (a_{n+1}=a_n-(5n+4)) है तो \(a_3\) क्या होगा?

If \(a_1=150\) and (a_{n+1}=a_n-(5n+4)), what is \(a_3\)?

Explanation opens after your attempt

Correct Answer

B. (127)

Explanation

Simple Explanation

पद (150,141,127) हैं इसलिए \(a_3=127\) है। घटाने से पहले (5n+4) निकालें। / The terms are (150,141,127), so \(a_3=127\). Exam tip: calculate (5n+4) before subtracting.

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Question 337/601 Hard Mathematics Sequences and Progressions Recursive rule Class 9 Level 45

यदि \(a_1=1\), \(a_2=2\) और \(a_n=3a_{n-1}-2a_{n-2}+1\) है तो \(a_4\) क्या होगा?

If \(a_1=1\), \(a_2=2\), and \(a_n=3a_{n-1}-2a_{n-2}+1\), what is \(a_4\)?

Explanation opens after your attempt

Correct Answer

A. (7)

Explanation

Simple Explanation

\(a_3=3\times2-2\times1+1=5\) और \(a_4=3\times5-2\times2+1=12\) है। सही विकल्प में (12) होना चाहिए। / \(a_3=3\times2-2\times1+1=5\) and \(a_4=3\times5-2\times2+1=12\). The correct option should include (12).

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Question 338/601 Hard Mathematics Sequences and Progressions Recursive rule Class 9 Level 45

यदि \(a_1=1\), \(a_2=2\) और \(a_n=3a_{n-1}-2a_{n-2}+1\) है तो \(a_3\) क्या होगा?

If \(a_1=1\), \(a_2=2\), and \(a_n=3a_{n-1}-2a_{n-2}+1\), what is \(a_3\)?

Explanation opens after your attempt

Correct Answer

C. (5)

Explanation

Simple Explanation

\(a_3=3\times2-2\times1+1=5\) है। दोनों पिछले पदों का उपयोग करें। / \(a_3=3\times2-2\times1+1=5\). Exam tip: use both previous terms.

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Question 339/601 Hard Mathematics Sequences and Progressions Recursive rule Class 9 Level 45

यदि \(a_1=5\) और \(a_{n+1}=a_n+\frac{3n}{2}\) है तो \(a_5\) क्या होगा?

If \(a_1=5\) and \(a_{n+1}=a_n+\frac{3n}{2}\), what is \(a_5\)?

Explanation opens after your attempt

Correct Answer

C. (20)

Explanation

Simple Explanation

कुल जोड़ (\frac{3(1+2+3+4)}{2}=15) है इसलिए \(a_5=20\) है। भिन्न जोड़ में पहले कुल जोड़ निकालें। / The total addition is (\frac{3(1+2+3+4)}{2}=15), so \(a_5=20\). Exam tip: find the total fractional addition first.

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Question 340/601 Hard Mathematics Sequences and Progressions Recursive rule Class 9 Level 45

यदि \(a_1=40\) और \(a_{n+1}=a_n-\frac{3n}{2}\) है तो \(a_5\) क्या होगा?

If \(a_1=40\) and \(a_{n+1}=a_n-\frac{3n}{2}\), what is \(a_5\)?

Explanation opens after your attempt

Correct Answer

B. (25)

Explanation

Simple Explanation

कुल घटाव (\frac{3(1+2+3+4)}{2}=15) है इसलिए \(a_5=25\) है। भिन्न घटाव में कुल घटाव पहले निकालें। / The total subtraction is (\frac{3(1+2+3+4)}{2}=15), so \(a_5=25\). Exam tip: calculate total fractional subtraction first.

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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 \(a_{n+1}=5a_n-3\) है तो \(a_3\) क्या होगा?

Simple Explanation

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

Simple Explanation

यदि \(a_1=4\) और \(a_{n+1}=a_n+7n-2\) है तो \(a_4\) क्या होगा?

Simple Explanation

यदि \(a_1=4\) और \(a_{n+1}=a_n+7n-2\) है तो \(a_3\) क्या होगा?

Simple Explanation

यदि \(a_1=150\) और (a_{n+1}=a_n-(5n+4)) है तो \(a_4\) क्या होगा?

Simple Explanation

यदि \(a_1=150\) और (a_{n+1}=a_n-(5n+4)) है तो \(a_3\) क्या होगा?

Simple Explanation

यदि \(a_1=1\), \(a_2=2\) और \(a_n=3a_{n-1}-2a_{n-2}+1\) है तो \(a_4\) क्या होगा?

Simple Explanation

यदि \(a_1=1\), \(a_2=2\) और \(a_n=3a_{n-1}-2a_{n-2}+1\) है तो \(a_3\) क्या होगा?

Simple Explanation

यदि \(a_1=5\) और \(a_{n+1}=a_n+\frac{3n}{2}\) है तो \(a_5\) क्या होगा?

Simple Explanation

यदि \(a_1=40\) और \(a_{n+1}=a_n-\frac{3n}{2}\) है तो \(a_5\) क्या होगा?

Simple Explanation

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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 \(a_{n+1}=5a_n-3\) है तो \(a_3\) क्या होगा?

Simple Explanation

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

Simple Explanation

यदि \(a_1=4\) और \(a_{n+1}=a_n+7n-2\) है तो \(a_4\) क्या होगा?

Simple Explanation

यदि \(a_1=4\) और \(a_{n+1}=a_n+7n-2\) है तो \(a_3\) क्या होगा?

Simple Explanation

यदि \(a_1=150\) और (a_{n+1}=a_n-(5n+4)) है तो \(a_4\) क्या होगा?

Simple Explanation

यदि \(a_1=150\) और (a_{n+1}=a_n-(5n+4)) है तो \(a_3\) क्या होगा?

Simple Explanation

यदि \(a_1=1\), \(a_2=2\) और \(a_n=3a_{n-1}-2a_{n-2}+1\) है तो \(a_4\) क्या होगा?

Simple Explanation

यदि \(a_1=1\), \(a_2=2\) और \(a_n=3a_{n-1}-2a_{n-2}+1\) है तो \(a_3\) क्या होगा?

Simple Explanation

यदि \(a_1=5\) और \(a_{n+1}=a_n+\frac{3n}{2}\) है तो \(a_5\) क्या होगा?

Simple Explanation

यदि \(a_1=40\) और \(a_{n+1}=a_n-\frac{3n}{2}\) है तो \(a_5\) क्या होगा?

Simple Explanation

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