Question

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

A1= 0.28,a5 = 362.88, r = 6
Select one:
a. 435.4
b. 51.4
C. 311.08
d. 874.94

Answer 1

a. 435.4

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)=(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)=(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