Use the formula for $$\mathrm { S } _ { \mathbf { n } }$$ to find the sum of the first five terms of the geometric sequence.
-$\mathrm { a } _ { 1 } = 7.543 , \mathrm { r } = 2.466$ (Round to the nearest hundredth)
A) $- 275.88$
B) $185.13$
C) $464.07$
D) $61.52$

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} $. Substituting $ a_1 = 7.543 $, $ r = 2.466 $, and $ n = 5 $, we calculate $ S_5 = 7.543 \frac{2.466^5 - 1}{2.466 - 1} \approx 464.07 $.

Use the Formula For Sn\mathrm { S } _ { \mathbf { n } }Sn​

Use the Formula For $\mathrm { S } _ { \mathbf { n } }$