Find the sum of the infinite geometric series: 3+2+frac{4}{3}+frac{8}{9}+...

Wierzycaz

Wierzycaz

Answered question

2021-02-09

Find the sum of the infinite geometric series:
3+2+43+89+...

Answer & Explanation

Tasneem Almond

Tasneem Almond

Skilled2021-02-10Added 91 answers

Given: S=3+2+43+89+...
We know that sum(S) of infinite geometric series is given by
S=a1r
Where a is first term and r is common ratio
Here,
a=3,r=23
So, by using equation(1) sum(S) of infinite geometric series will be
S=3123
S=3(323)
S=3(13)
=3(3)
=9
Hence, sum of given infinite geometric series is 9.
Jeffrey Jordon

Jeffrey Jordon

Expert2021-12-27Added 2605 answers

Answer is given below (on video)

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