गुणोत्तर श्रेणी \(7,21,63,\ldots\) का वह पद कौन-सा है जो (5103) है?

Which term of the geometric progression \(7,21,63,\ldots\) is (5103)?

Author: Muft Shiksha Editorial Team Published:
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Correct Answer

C. सातवाँ पद(7)th term

Step 1

Concept

From \(7\cdot3^{n-1}=5103\), \(3^{n-1}=729=3^6\), so (n=7). In exams, compare powers to find the term number.

Step 2

Why this answer is correct

The correct answer is C. सातवाँ पद / (7)th term. From \(7\cdot3^{n-1}=5103\), \(3^{n-1}=729=3^6\), so (n=7). In exams, compare powers to find the term number.

Step 3

Exam Tip

\(7\cdot3^{n-1}=5103\) से \(3^{n-1}=729=3^6\), इसलिए (n=7) है। परीक्षा में पद संख्या के लिए घात की तुलना करें।

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Mathematics Answer, Explanation and Revision Hints

गुणोत्तर श्रेणी \(7,21,63,\ldots\) का वह पद कौन-सा है जो (5103) है? / Which term of the geometric progression \(7,21,63,\ldots\) is (5103)?

Correct Answer: C. सातवाँ पद / (7)th term. Explanation: \(7\cdot3^{n-1}=5103\) से \(3^{n-1}=729=3^6\), इसलिए (n=7) है। परीक्षा में पद संख्या के लिए घात की तुलना करें। / From \(7\cdot3^{n-1}=5103\), \(3^{n-1}=729=3^6\), so (n=7). In exams, compare powers to find the term number.

Which concept should I revise for this Mathematics MCQ?

From \(7\cdot3^{n-1}=5103\), \(3^{n-1}=729=3^6\), so (n=7). In exams, compare powers to find the term number.

What exam hint can help solve this Mathematics question?

\(7\cdot3^{n-1}=5103\) से \(3^{n-1}=729=3^6\), इसलिए (n=7) है। परीक्षा में पद संख्या के लिए घात की तुलना करें।