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Finding the sums
Find the sum of the first 7 terms of the following geometric series.

1/36-1/12+1/4-...

what is the sum?


Sagot :

The sum of the first 7 terms of the geometric series is 15.180

Sum of geometric series

The formula for calculating the sum of geometric series is expressed according to the formula. below;

GM = a(1-r^n)/1-r

where

r is the common ratio

n is the number of terms

a is the first term

Given the following parameters from the sequence

a = 1/36

r = -3

n = 7

Substitute

S = (1/36)(1-(-3)^7)/1+3
S = 1/36(1-2187)/4
S = 15.180

Hence the sum of the first 7 terms of the geometric series is 15.180

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