Find the partial sum of the geometric sequence with the given first term and common ratio.
-$\mathrm { s } 13 , \mathrm { a } _ { 1 } = 4 , \mathrm { r } = 3$
A) $3,188,644$
B) $3,188,624$
C) $3,188,646$
D) $3,188,681$

Question

Quizplus · Accepted Answer

The partial sum of a geometric sequence is given by the formula:$$S_n = a_1(1 - r^n) / (1 - r)$$where $a_1$ is the first term, $r$ is the common ratio, and $n$ is the number of terms.In this case, we have $a_1 = 4$, $r = 3$, and $n = 13$. Plugging these values into the formula, we get:$$S_{13} = 4(1 - 3^{13}) / (1 - 3) = 4(-1594323) / (-2) = 3,188,646$$Therefore, the correct answer is A.

Find the Partial Sum of the Geometric Sequence with the Given