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where we alternately multiply by 1/2 and 1/3 to get the next term.

 Feb 22, 2019
 #1
avatar+101762 
+2

We can split this into two parts

 

1 + 1/6 + 1/36 + ...   and

 

1/2 + 1/12 + 1/72 + ......

 

 

The sum of the two series is

 

1 /(1 - 1/6)  +   (1/2) / (1 - 1/6)  =

 

6/5 +  3/5   =

 

9/5

 

 

cool cool cool

 Feb 22, 2019
 #2
avatar+4296 
0

Yep, very nice, CPhill! Infinite series!

tertre  Feb 23, 2019

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