find the sum of the finite series. \\(\\displaystyle\\sum_{n=1}^{16} -1…

$find the sum of the finite series. \\(\\displaystyle\\sum_{n=1}^{16} -1…$

find the sum of the finite series.
\$\displaystyle\sum_{n=1}^{16} -13\$

The series is $\sum_{n = 1}^{16}-13$, which means we are adding the constant $- 13$ a total of 16 times.

The sum of a constant $c$ from $n = 1$ to $n = k$ is given by $S=k\times c$. Here, $k = 16$ and $c=-13$.
So, $S=16\times(-13)$

$16\times(-13)=-208$

$-208$