Class 9 Mathematics - Sequences and Progressions - Recursive rule Expert Quiz

Mathematics Sequences and Progressions Recursive rule Expert Class 9 Level 42

Level 42 • 2/50 questions • 25 seconds per question.

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This level needs 48 more active questions. Admin panel me same class, subject, difficulty aur level_no 42 par question add karein.
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Question 1/2 Expert Mathematics Sequences and Progressions Sequences Class 9 Level 42

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

If \(a_1=1\) and (a_{n+1}=a_n+n(n+1)), what will \(a_5\) be?

Explanation opens after your attempt
Correct Answer

D. (41)

Step 1

Concept

The terms are (1,3,9,21,41), so \(a_5=41\). Exam tip: write positions along with values to avoid recursive mistakes.

Step 2

Why this answer is correct

The correct answer is D. (41). The terms are (1,3,9,21,41), so \(a_5=41\). Exam tip: write positions along with values to avoid recursive mistakes.

Step 3

Exam Tip

पद (1,3,9,21,41) मिलते हैं इसलिए \(a_5=41\) है। क्रमांक साथ लिखने से पुनरावर्ती गलती कम होती है।

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Question 2/2 Expert Mathematics Sequences and Progressions Sequences Class 9 Level 42

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

If \(a_1=2\) and \(a_{n+1}=2a_n+n^2\), what will \(a_4\) be?

Explanation opens after your attempt
Correct Answer

C. (37)

Step 1

Concept

The terms are (2,5,14,37). Exam tip: the value of \(n^2\) changes at every recursive step.

Step 2

Why this answer is correct

The correct answer is C. (37). The terms are (2,5,14,37). Exam tip: the value of \(n^2\) changes at every recursive step.

Step 3

Exam Tip

पद (2,5,14,37) मिलते हैं। पुनरावर्ती नियम में \(n^2\) का मान हर चरण बदलता है।

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