Use the formula \displaystyle S_n=a_1\cdot \frac{1-r^{n}}{1-r}S
n

=a
1


1−r
1−r
n


​ to evaluate the following sum.
\displaystyle \sum_{k=1}^{7}\left(-10 \left(3\right)^{k}\right)
k=1

7

(−10(3)
k
)

Use the formula displaystyle Sna1cdot frac1rn1rS n a 1 1r 1r n to evaluate the following sum displaystyle sumk17left10 left3rightkright k1 7 103 k class=