Find the partial sum of the geometric sequence with the given first term and common ratio
-$\mathrm{s}_{13}, \mathrm{a}_{1}=8, \mathrm{r}=2$
A) 65,565
B) 65,528
C) 65,530
D) 65,508

Question

Quizplus · Accepted Answer

The formula for the sum of the first $n$ terms of a geometric sequence is $S_n = \frac{a_1(1 - r^n)}{1 - r}$, where $a_1$ is the first term, $r$ is the common ratio, and $n$ is the number of terms. Plugging in $a_1 = 8$, $r = 2$, and $n = 13$, we get $S_{13} = \frac{8(1 - 2^{13})}{1 - 2} = \frac{8(1 - 8192)}{-1} = 8 \times 8191 = 65,528$.

Find the Partial Sum of the Geometric Sequence with the Given