यदि \(a_n=8\cdot2^{n-1}\) है, तो (4096) कौन-सा पद होगा?

If \(a_n=8\cdot2^{n-1}\), which term will be (4096)?

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Correct Answer

C. दसवाँ पद(10)th term

Step 1

Concept

From \(8\cdot2^{n-1}=4096\), \(2^{n-1}=512=2^9\), so (n=10). In exams, equate powers to find the term number.

Step 2

Why this answer is correct

The correct answer is C. दसवाँ पद / (10)th term. From \(8\cdot2^{n-1}=4096\), \(2^{n-1}=512=2^9\), so (n=10). In exams, equate powers to find the term number.

Step 3

Exam Tip

\(8\cdot2^{n-1}=4096\) से \(2^{n-1}=512=2^9\), इसलिए (n=10) है। परीक्षा में घातों को बराबर करके पद संख्या निकालें।

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Mathematics Answer, Explanation and Revision Hints

यदि \(a_n=8\cdot2^{n-1}\) है, तो (4096) कौन-सा पद होगा? / If \(a_n=8\cdot2^{n-1}\), which term will be (4096)?

Correct Answer: C. दसवाँ पद / (10)th term. Explanation: \(8\cdot2^{n-1}=4096\) से \(2^{n-1}=512=2^9\), इसलिए (n=10) है। परीक्षा में घातों को बराबर करके पद संख्या निकालें। / From \(8\cdot2^{n-1}=4096\), \(2^{n-1}=512=2^9\), so (n=10). In exams, equate powers to find the term number.

Which concept should I revise for this Mathematics MCQ?

From \(8\cdot2^{n-1}=4096\), \(2^{n-1}=512=2^9\), so (n=10). In exams, equate powers to find the term number.

What exam hint can help solve this Mathematics question?

\(8\cdot2^{n-1}=4096\) से \(2^{n-1}=512=2^9\), इसलिए (n=10) है। परीक्षा में घातों को बराबर करके पद संख्या निकालें।