यदि \(a_n=6\cdot2^{n-1}\) है, तो (1536) कौन-सा पद होगा?

If \(a_n=6\cdot2^{n-1}\), which term will be (1536)?

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Correct Answer

C. नौवाँ पद(9)th term

Step 1

Concept

From \(6\cdot2^{n-1}=1536\), \(2^{n-1}=256=2^8\), so (n=9). In exams, equate powers to find the term number.

Step 2

Why this answer is correct

The correct answer is C. नौवाँ पद / (9)th term. From \(6\cdot2^{n-1}=1536\), \(2^{n-1}=256=2^8\), so (n=9). In exams, equate powers to find the term number.

Step 3

Exam Tip

\(6\cdot2^{n-1}=1536\) से \(2^{n-1}=256=2^8\), इसलिए (n=9) है। परीक्षा में घातों को बराबर करके पद संख्या निकालें।

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Mathematics Answer, Explanation and Revision Hints

यदि \(a_n=6\cdot2^{n-1}\) है, तो (1536) कौन-सा पद होगा? / If \(a_n=6\cdot2^{n-1}\), which term will be (1536)?

Correct Answer: C. नौवाँ पद / (9)th term. Explanation: \(6\cdot2^{n-1}=1536\) से \(2^{n-1}=256=2^8\), इसलिए (n=9) है। परीक्षा में घातों को बराबर करके पद संख्या निकालें। / From \(6\cdot2^{n-1}=1536\), \(2^{n-1}=256=2^8\), so (n=9). In exams, equate powers to find the term number.

Which concept should I revise for this Mathematics MCQ?

From \(6\cdot2^{n-1}=1536\), \(2^{n-1}=256=2^8\), so (n=9). In exams, equate powers to find the term number.

What exam hint can help solve this Mathematics question?

\(6\cdot2^{n-1}=1536\) से \(2^{n-1}=256=2^8\), इसलिए (n=9) है। परीक्षा में घातों को बराबर करके पद संख्या निकालें।