यदि \(a_n=4\cdot3^{n-1}\) है तो (2916) कौन-सा पद होगा?

If \(a_n=4\cdot3^{n-1}\) which term will be (2916)?

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Correct Answer

B. सातवाँ पद(7)th term

Step 1

Concept

From \(4\cdot3^{n-1}=2916\), \(3^{n-1}=729=3^6\) so (n=7). In exams first equate the given term to \(a_n\).

Step 2

Why this answer is correct

The correct answer is B. सातवाँ पद / (7)th term. From \(4\cdot3^{n-1}=2916\), \(3^{n-1}=729=3^6\) so (n=7). In exams first equate the given term to \(a_n\).

Step 3

Exam Tip

\(4\cdot3^{n-1}=2916\) से \(3^{n-1}=729=3^6\) इसलिए (n=7) है। परीक्षा में पहले दिए पद को \(a_n\) के बराबर रखें।

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Mathematics Answer, Explanation and Revision Hints

यदि \(a_n=4\cdot3^{n-1}\) है तो (2916) कौन-सा पद होगा? / If \(a_n=4\cdot3^{n-1}\) which term will be (2916)?

Correct Answer: B. सातवाँ पद / (7)th term. Explanation: \(4\cdot3^{n-1}=2916\) से \(3^{n-1}=729=3^6\) इसलिए (n=7) है। परीक्षा में पहले दिए पद को \(a_n\) के बराबर रखें। / From \(4\cdot3^{n-1}=2916\), \(3^{n-1}=729=3^6\) so (n=7). In exams first equate the given term to \(a_n\).

Which concept should I revise for this Mathematics MCQ?

From \(4\cdot3^{n-1}=2916\), \(3^{n-1}=729=3^6\) so (n=7). In exams first equate the given term to \(a_n\).

What exam hint can help solve this Mathematics question?

\(4\cdot3^{n-1}=2916\) से \(3^{n-1}=729=3^6\) इसलिए (n=7) है। परीक्षा में पहले दिए पद को \(a_n\) के बराबर रखें।