यदि \(a_n=405\left(\frac{1}{3}\right)^{n-1}\) है, तो कौन-सा पद (5) के बराबर होगा?

If \(a_n=405\left(\frac{1}{3}\right)^{n-1}\), which term will be equal to (5)?

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

C. पाँचवाँ पद(5)th term

Step 1

Concept

From \(405\left(\frac{1}{3}\right)^{n-1}=5\), \(\left(\frac{1}{3}\right)^{n-1}=\frac{1}{81}\), so (n=5). In exams, simplify fractions first.

Step 2

Why this answer is correct

The correct answer is C. पाँचवाँ पद / (5)th term. From \(405\left(\frac{1}{3}\right)^{n-1}=5\), \(\left(\frac{1}{3}\right)^{n-1}=\frac{1}{81}\), so (n=5). In exams, simplify fractions first.

Step 3

Exam Tip

\(405\left(\frac{1}{3}\right)^{n-1}=5\) 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 \(a_n=405\left(\frac{1}{3}\right)^{n-1}\) है, तो कौन-सा पद (5) के बराबर होगा? / If \(a_n=405\left(\frac{1}{3}\right)^{n-1}\), which term will be equal to (5)?

Correct Answer: C. पाँचवाँ पद / (5)th term. Explanation: \(405\left(\frac{1}{3}\right)^{n-1}=5\) से \(\left(\frac{1}{3}\right)^{n-1}=\frac{1}{81}\), इसलिए (n=5) है। परीक्षा में भिन्नों को पहले सरल करें। / From \(405\left(\frac{1}{3}\right)^{n-1}=5\), \(\left(\frac{1}{3}\right)^{n-1}=\frac{1}{81}\), so (n=5). In exams, simplify fractions first.

Which concept should I revise for this Mathematics MCQ?

From \(405\left(\frac{1}{3}\right)^{n-1}=5\), \(\left(\frac{1}{3}\right)^{n-1}=\frac{1}{81}\), so (n=5). In exams, simplify fractions first.

What exam hint can help solve this Mathematics question?

\(405\left(\frac{1}{3}\right)^{n-1}=5\) से \(\left(\frac{1}{3}\right)^{n-1}=\frac{1}{81}\), इसलिए (n=5) है। परीक्षा में भिन्नों को पहले सरल करें।