यदि \(a_n=5\cdot2^{n-1}\) है, तो \(a_n=320\) के लिए (n) क्या होगा?

If \(a_n=5\cdot2^{n-1}\), what will (n) be for \(a_n=320\)?

Author: Muft Shiksha Editorial Team Published:
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Correct Answer

C. (7)

Step 1

Concept

\(5\cdot2^{n-1}=320\), so \(2^{n-1}=64=2^6\) and (n=7). Compare powers.

Step 2

Why this answer is correct

The correct answer is C. (7). \(5\cdot2^{n-1}=320\), so \(2^{n-1}=64=2^6\) and (n=7). Compare powers.

Step 3

Exam Tip

\(5\cdot2^{n-1}=320\), इसलिए \(2^{n-1}=64=2^6\) और (n=7)। घातों की तुलना करें।

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FAQs

Mathematics Answer, Explanation and Revision Hints

यदि \(a_n=5\cdot2^{n-1}\) है, तो \(a_n=320\) के लिए (n) क्या होगा? / If \(a_n=5\cdot2^{n-1}\), what will (n) be for \(a_n=320\)?

Correct Answer: C. (7). Explanation: \(5\cdot2^{n-1}=320\), इसलिए \(2^{n-1}=64=2^6\) और (n=7)। घातों की तुलना करें। / \(5\cdot2^{n-1}=320\), so \(2^{n-1}=64=2^6\) and (n=7). Compare powers.

Which concept should I revise for this Mathematics MCQ?

\(5\cdot2^{n-1}=320\), so \(2^{n-1}=64=2^6\) and (n=7). Compare powers.

What exam hint can help solve this Mathematics question?

\(5\cdot2^{n-1}=320\), इसलिए \(2^{n-1}=64=2^6\) और (n=7)। घातों की तुलना करें।