Find sn for the given geometric series

Asked by maham237 @ 22/02/2021 in Mathematics viewed by 316 People

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

Answered by maham237 @ 22/02/2021

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

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