गुणोत्तर श्रेणी \(6,18,54,\ldots\) के पहले (7) पदों का योग क्या है?

What is the sum of the first (7) terms of the geometric progression \(6,18,54,\ldots\)?

Author: Muft Shiksha Editorial Team Published:
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Correct Answer

A. (6558)

Step 1

Concept

(S_7=\frac{6\(3^7-1\)}{3-1}=6558). In exams, first calculate the value of \(3^7\).

Step 2

Why this answer is correct

The correct answer is A. (6558). (S_7=\frac{6\(3^7-1\)}{3-1}=6558). In exams, first calculate the value of \(3^7\).

Step 3

Exam Tip

(S_7=\frac{6\(3^7-1\)}{3-1}=6558) है। परीक्षा में पहले \(3^7\) का मान निकालें।

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Mathematics Answer, Explanation and Revision Hints

गुणोत्तर श्रेणी \(6,18,54,\ldots\) के पहले (7) पदों का योग क्या है? / What is the sum of the first (7) terms of the geometric progression \(6,18,54,\ldots\)?

Correct Answer: A. (6558). Explanation: (S_7=\frac{6\(3^7-1\)}{3-1}=6558) है। परीक्षा में पहले \(3^7\) का मान निकालें। / (S_7=\frac{6\(3^7-1\)}{3-1}=6558). In exams, first calculate the value of \(3^7\).

Which concept should I revise for this Mathematics MCQ?

(S_7=\frac{6\(3^7-1\)}{3-1}=6558). In exams, first calculate the value of \(3^7\).

What exam hint can help solve this Mathematics question?

(S_7=\frac{6\(3^7-1\)}{3-1}=6558) है। परीक्षा में पहले \(3^7\) का मान निकालें।