गुणोत्तर श्रेणी \(10,40,160,\ldots\) का कौन-सा पद (10240) है?

Which term of the geometric progression \(10,40,160,\ldots\) is (10240)?

Author: Muft Shiksha Editorial Team Published:
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Correct Answer

A. छठा पद(6)th term

Step 1

Concept

From \(10\cdot4^{n-1}=10240\), \(4^{n-1}=1024=4^5\), so (n=6). In exams, equate powers to find the term number.

Step 2

Why this answer is correct

The correct answer is A. छठा पद / (6)th term. From \(10\cdot4^{n-1}=10240\), \(4^{n-1}=1024=4^5\), so (n=6). In exams, equate powers to find the term number.

Step 3

Exam Tip

\(10\cdot4^{n-1}=10240\) से \(4^{n-1}=1024=4^5\), इसलिए (n=6) है। परीक्षा में घात बराबर करके पद संख्या निकालें।

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Mathematics Answer, Explanation and Revision Hints

गुणोत्तर श्रेणी \(10,40,160,\ldots\) का कौन-सा पद (10240) है? / Which term of the geometric progression \(10,40,160,\ldots\) is (10240)?

Correct Answer: A. छठा पद / (6)th term. Explanation: \(10\cdot4^{n-1}=10240\) से \(4^{n-1}=1024=4^5\), इसलिए (n=6) है। परीक्षा में घात बराबर करके पद संख्या निकालें। / From \(10\cdot4^{n-1}=10240\), \(4^{n-1}=1024=4^5\), so (n=6). In exams, equate powers to find the term number.

Which concept should I revise for this Mathematics MCQ?

From \(10\cdot4^{n-1}=10240\), \(4^{n-1}=1024=4^5\), so (n=6). In exams, equate powers to find the term number.

What exam hint can help solve this Mathematics question?

\(10\cdot4^{n-1}=10240\) से \(4^{n-1}=1024=4^5\), इसलिए (n=6) है। परीक्षा में घात बराबर करके पद संख्या निकालें।