+0  
 
0
192
1
avatar

Evaluate the infinite geometric series: ​3/2 + 2/3 + 8/27 + 32/243 + ...

 Aug 3, 2022
 #1
avatar+128406 
+1

The common  ratio  =  (2/3) / (3/2)  =  (2/3) (2/3)  =   4/9

 

Sum  =

 

(3/2)  / ( 1 - 4/9)  =

 

(3/2) / ( 5/9)  =   (3/2) ( 9/5)    =   27  / 10

 

 

cool cool cool

 Aug 3, 2022

0 Online Users