गुणोत्तर श्रेढ़ी \(120,40,\frac{40}{3},\ldots\) का (5)वाँ पद क्या है?

What is the (5)th term of the geometric progression \(120,40,\frac{40}{3},\ldots\)?

Author: Muft Shiksha Editorial Team Published:
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Correct Answer

A. \(\frac{40}{27}\)

Step 1

Concept

The common ratio is \(\frac{1}{3}\), and (a_5=120\left\(\frac{1}{3}\right\)4=\frac{40}{27}). Use powers carefully with a fractional ratio.

Step 2

Why this answer is correct

The correct answer is A. \(\frac{40}{27}\). The common ratio is \(\frac{1}{3}\), and (a_5=120\left\(\frac{1}{3}\right\)4=\frac{40}{27}). Use powers carefully with a fractional ratio.

Step 3

Exam Tip

सार्व अनुपात \(\frac{1}{3}\) है और (a_5=120\left\(\frac{1}{3}\right\)4=\frac{40}{27})। भिन्न अनुपात में घात सावधानी से लगाएं।

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Mathematics Answer, Explanation and Revision Hints

गुणोत्तर श्रेढ़ी \(120,40,\frac{40}{3},\ldots\) का (5)वाँ पद क्या है? / What is the (5)th term of the geometric progression \(120,40,\frac{40}{3},\ldots\)?

Correct Answer: A. \(\frac{40}{27}\). Explanation: सार्व अनुपात \(\frac{1}{3}\) है और (a_5=120\left\(\frac{1}{3}\right\)4=\frac{40}{27})। भिन्न अनुपात में घात सावधानी से लगाएं। / The common ratio is \(\frac{1}{3}\), and (a_5=120\left\(\frac{1}{3}\right\)4=\frac{40}{27}). Use powers carefully with a fractional ratio.

Which concept should I revise for this Mathematics MCQ?

The common ratio is \(\frac{1}{3}\), and (a_5=120\left\(\frac{1}{3}\right\)4=\frac{40}{27}). Use powers carefully with a fractional ratio.

What exam hint can help solve this Mathematics question?

सार्व अनुपात \(\frac{1}{3}\) है और (a_5=120\left\(\frac{1}{3}\right\)4=\frac{40}{27})। भिन्न अनुपात में घात सावधानी से लगाएं।