Question

Find Sn for the given geometric series. Round answers to the nearest hundredth, if necessary.

Answer 1

Answer:

a. 435.4

Step-by-step explanation:

We are given a geometric sequence with first term, firth term and the common ratio. We are asked to find the sum of first 5 terms of the geometric series.

The formula to calculate the sum of finite geometric series is:

$S_{n}=\frac{a_{1}(1-r^{n})}{1-r}$

Since we need to find the sum of first 5 terms, n will be 5. Using these values in the above formula, we get:

$S_{5}=\frac{0.28(1-6^{5})}{1-6}\\\\ S_{5}=435.4$

Therefore, the sum of first 5 terms of the given geometric series would be 435.4