Find the sum of the convergent series. sum_{n=0}^infty(-frac15)^n

Mylo O'Moore 2020-12-15 Answered
Find the sum of the convergent series.
n=0(15)n
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Expert Answer

liannemdh
Answered 2020-12-16 Author has 106 answers
Given series :
n=0(15)n
The given series is
n=0(15)n=115+1251125+....
The given series is geometric series.
Here, the first term of the series is a=1.
The common difference is given by
r=151
r=15
The formula to find the sum of infinite geometric series is given by
S=a1r
Substitute the value of "a" and "r" in the above formula, we get
S=11(15)
S=11+15
S=56
Therefore, the sum of series is =56
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Jeffrey Jordon
Answered 2021-12-25 Author has 2047 answers

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