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+1
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avatar+578 

\(\sum_{n=1}^{∞}(\frac{2}{3})^n\)

 

if it converges what number does it converge to

 Feb 28, 2018
 #1
avatar+111453 
+1

We have the following terms

 

2/3  + (2/3)^2  + (2/3)^3   + (2/3)^4 + .....

 

The common ratio between terms is (2/3)....so....this converges to :

 

(2/3)  / [ 1 - 2/3]   =

 

(2/3) / (1/3)  =

 

(2/3) * (3/1)  =

 

2

 

 

cool cool cool

 Feb 28, 2018
 #2
avatar+578 
+1

thank you cphill

OfficialBubbleTanks  Feb 28, 2018
 #3
avatar+111453 
+1

Glad to help, OBT....!!!

 

 

cool cool cool

CPhill  Feb 28, 2018

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