गुणोत्तर श्रेढ़ी \(1,-3,9,-27,\ldots\) में \(a_7\) क्या होगा?

What will \(a_7\) be in the geometric progression \(1,-3,9,-27,\ldots\)?

Author: Muft Shiksha Editorial Team Published:
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Correct Answer

C. (729)

Step 1

Concept

Here (r=-3), so (a_7=1\cdot(-3)6=729). An even power of a negative ratio gives a positive value.

Step 2

Why this answer is correct

The correct answer is C. (729). Here (r=-3), so (a_7=1\cdot(-3)6=729). An even power of a negative ratio gives a positive value.

Step 3

Exam Tip

(r=-3) है, इसलिए (a_7=1\cdot(-3)6=729)। सम घात पर ऋणात्मक अनुपात का मान धनात्मक होता है।

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Mathematics Answer, Explanation and Revision Hints

गुणोत्तर श्रेढ़ी \(1,-3,9,-27,\ldots\) में \(a_7\) क्या होगा? / What will \(a_7\) be in the geometric progression \(1,-3,9,-27,\ldots\)?

Correct Answer: C. (729). Explanation: (r=-3) है, इसलिए (a_7=1\cdot(-3)6=729)। सम घात पर ऋणात्मक अनुपात का मान धनात्मक होता है। / Here (r=-3), so (a_7=1\cdot(-3)6=729). An even power of a negative ratio gives a positive value.

Which concept should I revise for this Mathematics MCQ?

Here (r=-3), so (a_7=1\cdot(-3)6=729). An even power of a negative ratio gives a positive value.

What exam hint can help solve this Mathematics question?

(r=-3) है, इसलिए (a_7=1\cdot(-3)6=729)। सम घात पर ऋणात्मक अनुपात का मान धनात्मक होता है।