गुणोत्तर श्रेणी \(2,10,50,\ldots\) का वह पद कौन-सा है जो (1250) है?

Which term of the geometric progression \(2,10,50,\ldots\) is (1250)?

Author: Muft Shiksha Editorial Team Published:
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Correct Answer

B. पाँचवाँ पद(5)th term

Step 1

Concept

From \(2\cdot5^{n-1}=1250\), \(5^{n-1}=625=5^4\) so (n=5). In exams compare powers to find the term number.

Step 2

Why this answer is correct

The correct answer is B. पाँचवाँ पद / (5)th term. From \(2\cdot5^{n-1}=1250\), \(5^{n-1}=625=5^4\) so (n=5). In exams compare powers to find the term number.

Step 3

Exam Tip

\(2\cdot5^{n-1}=1250\) से \(5^{n-1}=625=5^4\) इसलिए (n=5) है। परीक्षा में पद संख्या के लिए घात की तुलना करें।

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Mathematics Answer, Explanation and Revision Hints

गुणोत्तर श्रेणी \(2,10,50,\ldots\) का वह पद कौन-सा है जो (1250) है? / Which term of the geometric progression \(2,10,50,\ldots\) is (1250)?

Correct Answer: B. पाँचवाँ पद / (5)th term. Explanation: \(2\cdot5^{n-1}=1250\) से \(5^{n-1}=625=5^4\) इसलिए (n=5) है। परीक्षा में पद संख्या के लिए घात की तुलना करें। / From \(2\cdot5^{n-1}=1250\), \(5^{n-1}=625=5^4\) so (n=5). In exams compare powers to find the term number.

Which concept should I revise for this Mathematics MCQ?

From \(2\cdot5^{n-1}=1250\), \(5^{n-1}=625=5^4\) so (n=5). In exams compare powers to find the term number.

What exam hint can help solve this Mathematics question?

\(2\cdot5^{n-1}=1250\) से \(5^{n-1}=625=5^4\) इसलिए (n=5) है। परीक्षा में पद संख्या के लिए घात की तुलना करें।