Question

What is the sum of all square numbers from 0 to 101?

Answer 1

we know that the smallest square number there is 1, largest is 100 (10^2)
Since 1^2 +2^2 +3^2 +...+n^2 = (n)(n+1)(2n+1)/6
Therefore sum required =
1^2 +2^2 +3^2 +...+10^2 = (10)(10+1)(2x10+1)/6 = Can you work it out?

Answer 2

100+81+64+49+36+25+16+9+4+1 = -------
Or use Callisto method, it is easier.