Answer
$168$
Work Step by Step
The expression $
\displaystyle\sum_{i=1}^7 i+\displaystyle\sum_{i=1}^7 i^2
$ evaluates to
\begin{array}{l}
1+2+3+4+5+6+7+\displaystyle\sum_{i=1}^7 i^2
\\=
28+\displaystyle\sum_{i=1}^7 i^2
\\=
28+1^2+2^2+3^2+4^2+5^2+6^2+7^2
\\=
28+1+4+9+16+25+36+49
\\=
168
.\end{array}
