Class 9 Mathematics - Sequences and Progressions - nth term Easy Quiz

Mathematics Sequences and Progressions nth term Easy Class 9 Level 47

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Question 1/8 Easy Mathematics Sequences and Progressions Recursive rule Class 9 Level 47

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

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

Explanation opens after your attempt

Correct Answer

D. (11)

Explanation

Simple Explanation

पद (2,5,8,11) मिलते हैं इसलिए \(a_4=11\) है। परीक्षा में हर चरण क्रम से लिखें। / The terms are (2,5,8,11), so \(a_4=11\). Exam tip: write each step in order.

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Question 2/8 Easy Mathematics Sequences and Progressions Recursive rule Class 9 Level 47

यदि \(a_1=3\) और \(a_{n+1}=a_n+2\) है तो कौन सा पद (11) है?

If \(a_1=3\) and \(a_{n+1}=a_n+2\), which term is (11)?

Explanation opens after your attempt

Correct Answer

C. (5)वाँ(5)th

Explanation

Simple Explanation

पद (3,5,7,9,11) हैं इसलिए (11) पाँचवाँ पद है। पदों को क्रमांक के साथ लिखें। / The terms are (3,5,7,9,11), so (11) is the fifth term. Exam tip: write terms with their positions.

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Question 3/8 Easy Mathematics Sequences and Progressions Recursive rule Class 9 Level 47

यदि \(a_1=4\) और \(a_{n+1}=a_n+4\) है तो कौन सा पद (20) है?

If \(a_1=4\) and \(a_{n+1}=a_n+4\), which term is (20)?

Explanation opens after your attempt

Correct Answer

B. (5)वाँ(5)th

Explanation

Simple Explanation

पद (4,8,12,16,20) हैं इसलिए (20) पाँचवाँ पद है। समान वृद्धि में क्रम से गिनें। / The terms are (4,8,12,16,20), so (20) is the fifth term. Exam tip: count step by step in constant growth.

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Question 4/8 Easy Mathematics Sequences and Progressions Recursive rule Class 9 Level 47

यदि \(a_1=6\) और \(a_{n+1}=a_n+2\) है तो \(a_5-a_3\) का मान क्या होगा?

If \(a_1=6\) and \(a_{n+1}=a_n+2\), what is the value of \(a_5-a_3\)?

Explanation opens after your attempt

Correct Answer

B. (4)

Explanation

Simple Explanation

पद (6,8,10,12,14) हैं इसलिए \(a_5-a_3=14-10=4\) है। पहले दोनों पद निकालें। / The terms are (6,8,10,12,14), so \(a_5-a_3=14-10=4\). Exam tip: find both terms first.

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Question 5/8 Easy Mathematics Sequences and Progressions Recursive rule Class 9 Level 47

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

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

Explanation opens after your attempt

Correct Answer

C. (22)

Explanation

Simple Explanation

पद (3,7,11,15) हैं और \(a_2+a_4=7+15=22\) है। योग से पहले जरूरी पद निकालें। / The terms are (3,7,11,15), and \(a_2+a_4=7+15=22\). Exam tip: find the needed terms before adding.

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Question 6/8 Easy Mathematics Sequences and Progressions Recursive rule Class 9 Level 47

यदि \(a_1=2\), \(a_2=5\) और \(a_n=a_{n-1}+2\) है तो \(a_4\) क्या होगा?

If \(a_1=2\), \(a_2=5\), and \(a_n=a_{n-1}+2\), what is \(a_4\)?

Explanation opens after your attempt

Correct Answer

C. (9)

Explanation

Simple Explanation

\(a_3=7\) और \(a_4=9\) है। \(a_n\) पिछले पद से (2) अधिक है। / \(a_3=7\) and \(a_4=9\). Exam tip: \(a_n\) is (2) more than the previous term.

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Question 7/8 Easy Mathematics Sequences and Progressions Recursive rule Class 9 Level 47

अनुक्रम \(4,7,10,13,\ldots\) में recursive rule के अनुसार अगला पद क्या है?

According to the recursive rule in the sequence \(4,7,10,13,\ldots\), what is the next term?

Explanation opens after your attempt

Correct Answer

C. (16)

Explanation

Simple Explanation

हर बार (3) जोड़ा गया है इसलिए अगला पद (13+3=16) है। अंतर देखकर अगला पद निकालें। / (3) is added each time, so the next term is (13+3=16). Exam tip: use the difference to find the next term.

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Question 8/8 Easy Mathematics Sequences and Progressions Recursive rule Class 9 Level 47

अनुक्रम \(32,16,8,4,\ldots\) में recursive rule के अनुसार अगला पद क्या होगा?

According to the recursive rule in the sequence \(32,16,8,4,\ldots\), what will be the next term?

Explanation opens after your attempt

Correct Answer

B. (2)

Explanation

Simple Explanation

हर बार पद आधा हो रहा है इसलिए अगला पद (2) है। भाग वाले अनुक्रम में पिछले पद को आधा करें। / Each term is being halved, so the next term is (2). Exam tip: halve the previous term in such sequences.

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Class 9 Mathematics - Sequences and Progressions - nth term Easy Quiz

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

Simple Explanation

यदि \(a_1=3\) और \(a_{n+1}=a_n+2\) है तो कौन सा पद (11) है?

Simple Explanation

यदि \(a_1=4\) और \(a_{n+1}=a_n+4\) है तो कौन सा पद (20) है?

Simple Explanation

यदि \(a_1=6\) और \(a_{n+1}=a_n+2\) है तो \(a_5-a_3\) का मान क्या होगा?

Simple Explanation

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

Simple Explanation

यदि \(a_1=2\), \(a_2=5\) और \(a_n=a_{n-1}+2\) है तो \(a_4\) क्या होगा?

Simple Explanation

अनुक्रम \(4,7,10,13,\ldots\) में recursive rule के अनुसार अगला पद क्या है?

Simple Explanation

अनुक्रम \(32,16,8,4,\ldots\) में recursive rule के अनुसार अगला पद क्या होगा?

Simple Explanation

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