Use the formula for S n to find the sum of the first five terms of the geometric sequence.
-$\mathrm { a } _ { 1 } = 7.099 , \mathrm { r } = 3.687$ (Round to the nearest hundredth)
A) $253.20$
B) $485.59$
C) $1797.45$
D) $- 1309.94$

Question

Quizplus · Accepted Answer

The sum of the first n terms of a geometric sequence is given by $ S_n = a_1 \frac{r^n - 1}{r - 1} $. Plugging in $ a_1 = 7.099 $, $ r = 3.687 $, and $ n = 5 $, we calculate $ S_5 = 7.099 \frac{3.687^5 - 1}{3.687 - 1} \approx 1797.45 $.

Use the Formula for Sn to Find the Sum of the First

Use the Formula for S_n to Find the Sum of the First