यदि \(a_n=162\left(\frac{1}{3}\right)^{n-1}\) है, तो कौन-सा पद (2) के बराबर होगा?

If \(a_n=162\left(\frac{1}{3}\right)^{n-1}\), which term will be equal to (2)?

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

B. पाँचवाँ पद(5)th term

Step 1

Concept

From \(162\left(\frac{1}{3}\right)^{n-1}=2\), \(\left(\frac{1}{3}\right)^{n-1}=\frac{1}{81}\), 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 \(162\left(\frac{1}{3}\right)^{n-1}=2\), \(\left(\frac{1}{3}\right)^{n-1}=\frac{1}{81}\), so (n=5). In exams, simplify fractions first.

Step 3

Exam Tip

\(162\left(\frac{1}{3}\right)^{n-1}=2\) से \(\left(\frac{1}{3}\right)^{n-1}=\frac{1}{81}\), इसलिए (n=5) है। परीक्षा में भिन्नों को पहले सरल करें।

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Mathematics Answer, Explanation and Revision Hints

यदि \(a_n=162\left(\frac{1}{3}\right)^{n-1}\) है, तो कौन-सा पद (2) के बराबर होगा? / If \(a_n=162\left(\frac{1}{3}\right)^{n-1}\), which term will be equal to (2)?

Correct Answer: B. पाँचवाँ पद / (5)th term. Explanation: \(162\left(\frac{1}{3}\right)^{n-1}=2\) से \(\left(\frac{1}{3}\right)^{n-1}=\frac{1}{81}\), इसलिए (n=5) है। परीक्षा में भिन्नों को पहले सरल करें। / From \(162\left(\frac{1}{3}\right)^{n-1}=2\), \(\left(\frac{1}{3}\right)^{n-1}=\frac{1}{81}\), so (n=5). In exams, simplify fractions first.

Which concept should I revise for this Mathematics MCQ?

From \(162\left(\frac{1}{3}\right)^{n-1}=2\), \(\left(\frac{1}{3}\right)^{n-1}=\frac{1}{81}\), so (n=5). In exams, simplify fractions first.

What exam hint can help solve this Mathematics question?

\(162\left(\frac{1}{3}\right)^{n-1}=2\) से \(\left(\frac{1}{3}\right)^{n-1}=\frac{1}{81}\), इसलिए (n=5) है। परीक्षा में भिन्नों को पहले सरल करें।