Answer
$15550$
Work Step by Step
$\sum ^{100}_{k=1}\left( 3k+4\right) =\sum ^{100}_{k=1}3k+\sum ^{100}_{k=1}4=\dfrac {3n\left( n+1\right) }{2}+4n=\dfrac {3\times 100\times 101}{2}+4\times 100=15550$
Also we get same result when using graphing calculator (shown in picture).
