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alternating-addition MCQ Questions for Class 9

alternating-addition se related questions ko ek jagah revise karein. Har question me bilingual content, answer feedback aur explanation available hai.

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3 questions tagged with alternating-addition.

Question 1/3 Medium Mathematics Sequences and Progressions Recursive rule Class 9 Level 44

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

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

Explanation opens after your attempt
Correct Answer

B. (4)

Step 1

Concept

The terms are (4,2,4), so \(a_3=4\). Exam tip: check the sign of ((-1)^n) at every step.

Step 2

Why this answer is correct

The correct answer is B. (4). The terms are (4,2,4), so \(a_3=4\). Exam tip: check the sign of ((-1)^n) at every step.

Step 3

Exam Tip

पद (4,2,4) हैं इसलिए \(a_3=4\) है। ((-1)^n) के चिह्न को हर चरण में जाँचें।

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Question 2/3 Medium Mathematics Sequences and Progressions Recursive rule Class 9 Level 44

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

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

Explanation opens after your attempt
Correct Answer

B. (4)

Step 1

Concept

The terms are (4,2,4,2), so \(a_4=2\). The correct option should be (2).

Step 2

Why this answer is correct

The correct answer is B. (4). The terms are (4,2,4,2), so \(a_4=2\). The correct option should be (2).

Step 3

Exam Tip

पद (4,2,4,2) हैं इसलिए \(a_4=2\) है। सही विकल्प (2) होना चाहिए।

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Question 3/3 Medium Mathematics Sequences and Progressions Recursive rule Class 9 Level 44

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

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

Explanation opens after your attempt
Correct Answer

C. (5)

Step 1

Concept

The terms are (5,4,5,4,5), so \(a_5=5\). Exam tip: the sign of ((-1)^n) changes with even and odd (n).

Step 2

Why this answer is correct

The correct answer is C. (5). The terms are (5,4,5,4,5), so \(a_5=5\). Exam tip: the sign of ((-1)^n) changes with even and odd (n).

Step 3

Exam Tip

पद (5,4,5,4,5) हैं इसलिए \(a_5=5\) है। ((-1)^n) में सम और विषम (n) का चिह्न बदलता है।

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