यदि \(a_n=128\left(\frac{1}{2}\right)^{n-1}\) है, तो कौन-सा पद (8) के बराबर होगा?

If \(a_n=128\left(\frac{1}{2}\right)^{n-1}\), which term will be equal to (8)?

Author: Muft Shiksha Editorial Team Published: Updated:
Explanation opens after your attempt
Correct Answer

B. पाँचवाँ पद(5)th term

Step 1

Concept

From \(128\left(\frac{1}{2}\right)^{n-1}=8\), \(\left(\frac{1}{2}\right)^{n-1}=\frac{1}{16}\), so (n=5). In exams, simplify fractions first.

Step 2

Why this answer is correct

The correct answer is B. पाँचवाँ पद / (5)th term. From \(128\left(\frac{1}{2}\right)^{n-1}=8\), \(\left(\frac{1}{2}\right)^{n-1}=\frac{1}{16}\), so (n=5). In exams, simplify fractions first.

Step 3

Exam Tip

\(128\left(\frac{1}{2}\right)^{n-1}=8\) से \(\left(\frac{1}{2}\right)^{n-1}=\frac{1}{16}\), इसलिए (n=5) है। परीक्षा में भिन्नों को पहले सरल करें।

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Mathematics Answer, Explanation and Revision Hints

यदि \(a_n=128\left(\frac{1}{2}\right)^{n-1}\) है, तो कौन-सा पद (8) के बराबर होगा? / If \(a_n=128\left(\frac{1}{2}\right)^{n-1}\), which term will be equal to (8)?

Correct Answer: B. पाँचवाँ पद / (5)th term. Explanation: \(128\left(\frac{1}{2}\right)^{n-1}=8\) से \(\left(\frac{1}{2}\right)^{n-1}=\frac{1}{16}\), इसलिए (n=5) है। परीक्षा में भिन्नों को पहले सरल करें। / From \(128\left(\frac{1}{2}\right)^{n-1}=8\), \(\left(\frac{1}{2}\right)^{n-1}=\frac{1}{16}\), so (n=5). In exams, simplify fractions first.

Which concept should I revise for this Mathematics MCQ?

From \(128\left(\frac{1}{2}\right)^{n-1}=8\), \(\left(\frac{1}{2}\right)^{n-1}=\frac{1}{16}\), so (n=5). In exams, simplify fractions first.

What exam hint can help solve this Mathematics question?

\(128\left(\frac{1}{2}\right)^{n-1}=8\) से \(\left(\frac{1}{2}\right)^{n-1}=\frac{1}{16}\), इसलिए (n=5) है। परीक्षा में भिन्नों को पहले सरल करें।