Answer
$\sum\limits_{k=2}^5k^2=54$
Work Step by Step
We have to write out and evaluate the sum $\sum\limits_{k=2}^5k^2$.
Expand the sum:
$$\sum\limits_{k=2}^5k^2=2^2+3^2+4^2+5^2.$$
Now we can evaluate it.
$$\sum\limits_{k=2}^5k^2=4+9+16+25=9+20+25=45+9=54$$
