If the mean of the squares of first n natural numbers is 105, then the first n natural numbers is(a) 8 (b) 9(c) 10 (d) 11

Question

If the mean of the squares of first n natural numbers is 105, then the first n natural numbers is(a) 8 (b) 9(c) 10 (d) 11
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Solution 1

The formula for the mean of the squares of the first n natural numbers is (n+1)(2n+1)/6.

So, we have (n+1)(2n+1)/6 = 105.

Solving this equation for n will give us the answer.

First, multiply both sides by 6 to get rid of the denominator on the left side:

(n+1)(2n+1) = 630.

Then, expand the Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study prob

Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solv

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