गुणोत्तर श्रेढ़ी \(48,-24,12,-6,\ldots\) में अगला पद क्या होगा?

What is the next term in the geometric progression \(48,-24,12,-6,\ldots\)?

Author: Muft Shiksha Editorial Team Published:
Explanation opens after your attempt
Correct Answer

A. (3)

Step 1

Concept

The common ratio is \(-\frac{1}{2}\), so the next term is ((-6)\left\(-\frac{1}{2}\right\)=3). With a negative ratio the signs alternate.

Step 2

Why this answer is correct

The correct answer is A. (3). The common ratio is \(-\frac{1}{2}\), so the next term is ((-6)\left\(-\frac{1}{2}\right\)=3). With a negative ratio the signs alternate.

Step 3

Exam Tip

सार्व अनुपात \(-\frac{1}{2}\) है, इसलिए अगला पद ((-6)\left\(-\frac{1}{2}\right\)=3) होगा। ऋणात्मक अनुपात में चिह्न बदलते हैं।

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गुणोत्तर श्रेढ़ी \(48,-24,12,-6,\ldots\) में अगला पद क्या होगा? / What is the next term in the geometric progression \(48,-24,12,-6,\ldots\)?

Correct Answer: A. (3). Explanation: सार्व अनुपात \(-\frac{1}{2}\) है, इसलिए अगला पद ((-6)\left\(-\frac{1}{2}\right\)=3) होगा। ऋणात्मक अनुपात में चिह्न बदलते हैं। / The common ratio is \(-\frac{1}{2}\), so the next term is ((-6)\left\(-\frac{1}{2}\right\)=3). With a negative ratio the signs alternate.

Which concept should I revise for this Mathematics MCQ?

The common ratio is \(-\frac{1}{2}\), so the next term is ((-6)\left\(-\frac{1}{2}\right\)=3). With a negative ratio the signs alternate.

What exam hint can help solve this Mathematics question?

सार्व अनुपात \(-\frac{1}{2}\) है, इसलिए अगला पद ((-6)\left\(-\frac{1}{2}\right\)=3) होगा। ऋणात्मक अनुपात में चिह्न बदलते हैं।