अनुक्रम \(1,\frac{1}{4},\frac{1}{9},\frac{1}{16},\ldots\) में पहला पद जो \(\frac{1}{100}\) से छोटा है कौन सा है?

In the sequence \(1,\frac{1}{4},\frac{1}{9},\frac{1}{16},\ldots\), which is the first term less than \(\frac{1}{100}\)?

Author: Muft Shiksha Editorial Team Published:
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Correct Answer

B. (11)वाँ(11)th

Step 1

Concept

\(\frac{1}{10^2}=\frac{1}{100}\) is not smaller, and \(\frac{1}{11^2}<\frac{1}{100}\). So the first term is the (11)th.

Step 2

Why this answer is correct

The correct answer is B. (11)वाँ / (11)th. \(\frac{1}{10^2}=\frac{1}{100}\) is not smaller, and \(\frac{1}{11^2}<\frac{1}{100}\). So the first term is the (11)th.

Step 3

Exam Tip

\(\frac{1}{10^2}=\frac{1}{100}\) छोटा नहीं है और \(\frac{1}{11^2}<\frac{1}{100}\) है। इसलिए पहला पद (11)वाँ है।

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अनुक्रम \(1,\frac{1}{4},\frac{1}{9},\frac{1}{16},\ldots\) में पहला पद जो \(\frac{1}{100}\) से छोटा है कौन सा है? / In the sequence \(1,\frac{1}{4},\frac{1}{9},\frac{1}{16},\ldots\), which is the first term less than \(\frac{1}{100}\)?

Correct Answer: B. (11)वाँ / (11)th. Explanation: \(\frac{1}{10^2}=\frac{1}{100}\) छोटा नहीं है और \(\frac{1}{11^2}<\frac{1}{100}\) है। इसलिए पहला पद (11)वाँ है। / \(\frac{1}{10^2}=\frac{1}{100}\) is not smaller, and \(\frac{1}{11^2}<\frac{1}{100}\). So the first term is the (11)th.

Which concept should I revise for this Mathematics MCQ?

\(\frac{1}{10^2}=\frac{1}{100}\) is not smaller, and \(\frac{1}{11^2}<\frac{1}{100}\). So the first term is the (11)th.

What exam hint can help solve this Mathematics question?

\(\frac{1}{10^2}=\frac{1}{100}\) छोटा नहीं है और \(\frac{1}{11^2}<\frac{1}{100}\) है। इसलिए पहला पद (11)वाँ है।