Find the partial sum of the geometric sequence with the given first term and common ratio.
-$\mathrm { s } _ { 6 } , \mathrm { a } _ { 1 } = 5 , \mathrm { r } = 2$
A) 315
B) 63
C) 35
D) 31,248

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 $a_1 = 5$, $r = 2$, and $n = 6$, we get $S_6 = \frac{5(1 - 2^6)}{1 - 2} = \frac{5(1 - 64)}{-1} = \frac{5(-63)}{-1} = 315$.

Find the Partial Sum of the Geometric Sequence with the Given