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\(\frac{2}{3}+\frac{4}{9}+\frac{8}{27}+...\)

if it converges what is the sigma equation

 Mar 1, 2018
 #1
avatar+99586 
+1

Definitely converges, OBT

 

The geometric ratio is 2/3

 

The sum is

 

2/3  / [ 1 - 2/3]  =

 

2/3 / [1/3]  =

 

2

 

Sigma  notation

 

   inf

   ∑ (2/3)n

n = 1

 

 

cool cool cool

 Mar 1, 2018

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