गुणोत्तर श्रेणी \(14,42,126,378,\ldots\) का सामान्य पद क्या है?

What is the general term of the geometric progression \(14,42,126,378,\ldots\)?

Author: Muft Shiksha Editorial Team Published:
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Correct Answer

A. \(a_n=14\cdot3^{n-1}\)

Step 1

Concept

The first term is (14) and the ratio is (3), so \(a_n=14\cdot3^{n-1}\). In exams, keep (a) and (r) correct in \(ar^{n-1}\).

Step 2

Why this answer is correct

The correct answer is A. \(a_n=14\cdot3^{n-1}\). The first term is (14) and the ratio is (3), so \(a_n=14\cdot3^{n-1}\). In exams, keep (a) and (r) correct in \(ar^{n-1}\).

Step 3

Exam Tip

पहला पद (14) और अनुपात (3) है, इसलिए \(a_n=14\cdot3^{n-1}\) है। परीक्षा में \(ar^{n-1}\) में (a) और (r) सही रखें।

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Mathematics Answer, Explanation and Revision Hints

गुणोत्तर श्रेणी \(14,42,126,378,\ldots\) का सामान्य पद क्या है? / What is the general term of the geometric progression \(14,42,126,378,\ldots\)?

Correct Answer: A. \(a_n=14\cdot3^{n-1}\). Explanation: पहला पद (14) और अनुपात (3) है, इसलिए \(a_n=14\cdot3^{n-1}\) है। परीक्षा में \(ar^{n-1}\) में (a) और (r) सही रखें। / The first term is (14) and the ratio is (3), so \(a_n=14\cdot3^{n-1}\). In exams, keep (a) and (r) correct in \(ar^{n-1}\).

Which concept should I revise for this Mathematics MCQ?

The first term is (14) and the ratio is (3), so \(a_n=14\cdot3^{n-1}\). In exams, keep (a) and (r) correct in \(ar^{n-1}\).

What exam hint can help solve this Mathematics question?

पहला पद (14) और अनुपात (3) है, इसलिए \(a_n=14\cdot3^{n-1}\) है। परीक्षा में \(ar^{n-1}\) में (a) और (r) सही रखें।