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Mathematics Recursive rule MCQ Questions for Class 9

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Question 431/601 Hard Mathematics Sequences and Progressions Recursive rule Class 9 Level 47

यदि \(a_1=3\) और \(a_{n+1}=6a_n-5\) है तो \(a_3\) क्या होगा?

If \(a_1=3\) and \(a_{n+1}=6a_n-5\), what is \(a_3\)?

Explanation opens after your attempt

Correct Answer

D. (79)

Explanation

Simple Explanation

\(a_2=6\times3-5=13\) और \(a_3=6\times13-5=73\) है। सही विकल्पों में (73) होना चाहिए। / \(a_2=6\times3-5=13\) and \(a_3=6\times13-5=73\). Exam tip: multiply first and then subtract (5).

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Question 432/601 Hard Mathematics Sequences and Progressions Recursive rule Class 9 Level 47

यदि \(a_1=5\) और \(a_{n+1}=a_n+8n-3\) है तो \(a_4\) क्या होगा?

If \(a_1=5\) and \(a_{n+1}=a_n+8n-3\), what is \(a_4\)?

Explanation opens after your attempt

Correct Answer

D. (47)

Explanation

Simple Explanation

जुड़ने वाले मान (5,13,21) हैं इसलिए \(a_4=44\) है। सही विकल्पों में (44) होना चाहिए। / The added values are (5,13,21), so \(a_4=44\). Exam tip: find (8n-3) for each step.

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Question 433/601 Hard Mathematics Sequences and Progressions Recursive rule Class 9 Level 47

यदि \(a_1=5\) और \(a_{n+1}=a_n+8n-3\) है तो \(a_3\) क्या होगा?

If \(a_1=5\) and \(a_{n+1}=a_n+8n-3\), what is \(a_3\)?

Explanation opens after your attempt

Correct Answer

D. (23)

Explanation

Simple Explanation

पद (5,10,23) हैं इसलिए \(a_3=23\) है। (8n-3) का मान हर चरण में बदलता है। / The terms are (5,10,23), so \(a_3=23\). Exam tip: (8n-3) changes at each step.

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Question 434/601 Hard Mathematics Sequences and Progressions Recursive rule Class 9 Level 47

यदि \(a_1=180\) और (a_{n+1}=a_n-(6n+5)) है तो \(a_4\) क्या होगा?

If \(a_1=180\) and (a_{n+1}=a_n-(6n+5)), what is \(a_4\)?

Explanation opens after your attempt

Correct Answer

A. (136)

Explanation

Simple Explanation

घटने वाले मान (11,17,23) हैं इसलिए \(a_4=129\) है। सही विकल्पों में (129) होना चाहिए। / The subtracted values are (11,17,23), so \(a_4=129\). Exam tip: calculate the linear subtraction before subtracting.

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Question 435/601 Hard Mathematics Sequences and Progressions Recursive rule Class 9 Level 47

यदि \(a_1=180\) और (a_{n+1}=a_n-(6n+5)) है तो \(a_3\) क्या होगा?

If \(a_1=180\) and (a_{n+1}=a_n-(6n+5)), what is \(a_3\)?

Explanation opens after your attempt

Correct Answer

B. (152)

Explanation

Simple Explanation

पद (180,169,152) हैं इसलिए \(a_3=152\) है। घटाने से पहले (6n+5) निकालें। / The terms are (180,169,152), so \(a_3=152\). Exam tip: calculate (6n+5) before subtracting.

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Question 436/601 Hard Mathematics Sequences and Progressions Recursive rule Class 9 Level 47

यदि \(a_1=2\), \(a_2=4\) और \(a_n=4a_{n-1}-3a_{n-2}+2\) है तो \(a_4\) क्या होगा?

If \(a_1=2\), \(a_2=4\), and \(a_n=4a_{n-1}-3a_{n-2}+2\), what is \(a_4\)?

Explanation opens after your attempt

Correct Answer

C. (26)

Explanation

Simple Explanation

\(a_3=12\) और \(a_4=38\) है। सही विकल्पों में (38) होना चाहिए। / \(a_3=12\) and \(a_4=38\). Exam tip: apply both coefficients and then add (2).

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Question 437/601 Hard Mathematics Sequences and Progressions Recursive rule Class 9 Level 47

यदि \(a_1=2\), \(a_2=4\) और \(a_n=4a_{n-1}-3a_{n-2}+2\) है तो \(a_3\) क्या होगा?

If \(a_1=2\), \(a_2=4\), and \(a_n=4a_{n-1}-3a_{n-2}+2\), what is \(a_3\)?

Explanation opens after your attempt

Correct Answer

B. (12)

Explanation

Simple Explanation

\(a_3=4\times4-3\times2+2=12\) है। दोनों पिछले पदों का उपयोग करें। / \(a_3=4\times4-3\times2+2=12\). Exam tip: use both previous terms.

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Question 438/601 Hard Mathematics Sequences and Progressions Recursive rule Class 9 Level 47

यदि \(a_1=6\) और \(a_{n+1}=a_n+\frac{5n}{2}\) है तो \(a_5\) क्या होगा?

If \(a_1=6\) and \(a_{n+1}=a_n+\frac{5n}{2}\), what is \(a_5\)?

Explanation opens after your attempt

Correct Answer

B. (31)

Explanation

Simple Explanation

कुल जोड़ (\frac{5(1+2+3+4)}{2}=25) है इसलिए \(a_5=31\) है। भिन्न जोड़ में कुल जोड़ पहले निकालें। / The total addition is (\frac{5(1+2+3+4)}{2}=25), so \(a_5=31\). Exam tip: find the total fractional addition first.

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Question 439/601 Hard Mathematics Sequences and Progressions Recursive rule Class 9 Level 47

यदि \(a_1=60\) और \(a_{n+1}=a_n-\frac{5n}{2}\) है तो \(a_5\) क्या होगा?

If \(a_1=60\) and \(a_{n+1}=a_n-\frac{5n}{2}\), what is \(a_5\)?

Explanation opens after your attempt

Correct Answer

C. (35)

Explanation

Simple Explanation

कुल घटाव (\frac{5(1+2+3+4)}{2}=25) है इसलिए \(a_5=35\) है। भिन्न घटाव को पहले जोड़ें। / The total subtraction is (\frac{5(1+2+3+4)}{2}=25), so \(a_5=35\). Exam tip: add the fractional subtractions first.

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Question 440/601 Hard Mathematics Sequences and Progressions Recursive rule Class 9 Level 47

यदि \(a_1=3\) और \(a_{n+1}=n a_n+4\) है तो \(a_4\) क्या होगा?

If \(a_1=3\) and \(a_{n+1}=n a_n+4\), what is \(a_4\)?

Explanation opens after your attempt

Correct Answer

D. (52)

Explanation

Simple Explanation

\(a_2=7\), \(a_3=18\) और \(a_4=58\) है। सही विकल्पों में (58) होना चाहिए। / \(a_2=7\), \(a_3=18\), and \(a_4=58\). Exam tip: the multiplier (n) changes at every step.

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Mathematics Recursive rule MCQ Questions for Class 9

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Recursive rule Practice Questions

यदि \(a_1=3\) और \(a_{n+1}=6a_n-5\) है तो \(a_3\) क्या होगा?

Simple Explanation

यदि \(a_1=5\) और \(a_{n+1}=a_n+8n-3\) है तो \(a_4\) क्या होगा?

Simple Explanation

यदि \(a_1=5\) और \(a_{n+1}=a_n+8n-3\) है तो \(a_3\) क्या होगा?

Simple Explanation

यदि \(a_1=180\) और (a_{n+1}=a_n-(6n+5)) है तो \(a_4\) क्या होगा?

Simple Explanation

यदि \(a_1=180\) और (a_{n+1}=a_n-(6n+5)) है तो \(a_3\) क्या होगा?

Simple Explanation

यदि \(a_1=2\), \(a_2=4\) और \(a_n=4a_{n-1}-3a_{n-2}+2\) है तो \(a_4\) क्या होगा?

Simple Explanation

यदि \(a_1=2\), \(a_2=4\) और \(a_n=4a_{n-1}-3a_{n-2}+2\) है तो \(a_3\) क्या होगा?

Simple Explanation

यदि \(a_1=6\) और \(a_{n+1}=a_n+\frac{5n}{2}\) है तो \(a_5\) क्या होगा?

Simple Explanation

यदि \(a_1=60\) और \(a_{n+1}=a_n-\frac{5n}{2}\) है तो \(a_5\) क्या होगा?

Simple Explanation

यदि \(a_1=3\) और \(a_{n+1}=n a_n+4\) है तो \(a_4\) 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 \(a_1=3\) और \(a_{n+1}=6a_n-5\) है तो \(a_3\) क्या होगा?

Simple Explanation

यदि \(a_1=5\) और \(a_{n+1}=a_n+8n-3\) है तो \(a_4\) क्या होगा?

Simple Explanation

यदि \(a_1=5\) और \(a_{n+1}=a_n+8n-3\) है तो \(a_3\) क्या होगा?

Simple Explanation

यदि \(a_1=180\) और (a_{n+1}=a_n-(6n+5)) है तो \(a_4\) क्या होगा?

Simple Explanation

यदि \(a_1=180\) और (a_{n+1}=a_n-(6n+5)) है तो \(a_3\) क्या होगा?

Simple Explanation

यदि \(a_1=2\), \(a_2=4\) और \(a_n=4a_{n-1}-3a_{n-2}+2\) है तो \(a_4\) क्या होगा?

Simple Explanation

यदि \(a_1=2\), \(a_2=4\) और \(a_n=4a_{n-1}-3a_{n-2}+2\) है तो \(a_3\) क्या होगा?

Simple Explanation

यदि \(a_1=6\) और \(a_{n+1}=a_n+\frac{5n}{2}\) है तो \(a_5\) क्या होगा?

Simple Explanation

यदि \(a_1=60\) और \(a_{n+1}=a_n-\frac{5n}{2}\) है तो \(a_5\) क्या होगा?

Simple Explanation

यदि \(a_1=3\) और \(a_{n+1}=n a_n+4\) है तो \(a_4\) क्या होगा?

Simple Explanation

Recursive rule Learning Links

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