Question

Find the sum of squares of natural numbers from 10 to 25

Answer 1

5240 is the sum of squares from 10 to 25

Answer 2

Answer:

The sum of squares of natural numbers from 10 to 25 is 5240

Step-by-step explanation:

We know that the sum of squares of first n natural numbers is given by

$S=\frac{n(n+1)(2n+1)}{6}$

First of all we find the sum of squares of numbers from 1 to 9

$S_9=\frac{9(9+1)(2\cdot9+1)}{6}\\\\S_9=285$

Now, we find the sum of squares of numbers from 1 to 25

$S_{25}=\frac{25(25+1)(2\cdot25+1)}{6}\\\\S_{25}=5525$

Therefore, the sum of squares of natural numbers from 10 to 25 is given by

$S=S_{25}-S_9\\=5525-285\\=5240$