Evaluate the following summations.

$($a$){\displaystyle \underset{j=0}{\overset{10}{}}}4*2^j$

$(10$ pts$)$

$($b$){\displaystyle \underset{k=1}{\overset{50}{}}}{k}^2$

$(10$ pts$)$

$($c$){\displaystyle \underset{n=1}{\overset{7}{}}}\frac{1}{n^2}$

$(10$ pts$)$

$($d$){\displaystyle \underset{m=10}{\overset{30}{}}}m$

$(10$ pts$)$