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Question

The ratio of squares of first n natural numbers to square of sum of first n natural numbers is17:325. The value of n is:


  1. 24

  2. 25

  3. 26

  4. none


Solution

The correct option is B

25


Sum of squares of first n natural numbers=n(n+1)(2n+1)6

Sum of first n natural numbers =n(n+1)2

So solving the given equation we will get n=25

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