Question

Evaluate \\(\\sum_{r=1}^4 r^2\\)

Answer 1

GIVEN :

The sum is $\sum \limits_{r=1}^4 r^2$

TO FIND :

The evaluated value of the given  sum $\sum \limits_{r=1}^4 r^2$

SOLUTION :

Given that the sum is $\sum \limits_{r=1}^4 r^2$

Now to expand the given summation to find the evaluated value for the given summation for the value r=1 to 4 we get,

$\sum \limits_{r=1}^4 r^2$

$=1^2+2^2+3^2+4^2$

$=1+4+9+16$

$=30$

∴ The sum is given by  $\sum \limits_{r=1}^4 r^2=30$

∴ The evaluated value of the given sum $\sum \limits_{r=1}^4 r^2$ is 30