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State whether the given geometric series have sums.

 

 

10.  1 + .1 + .01 + .001 + …

answer = Sum 1.1

 

12.  1 – 1/5 + 1/25 – 1/125 + …

Answer = Sum 5/8

 Apr 19, 2019
 #1
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10     r = 1/10

 

Sum   =   1 / [ 1 - 1/10]   =  1 / (9/10)  = 10 / 9 

 

 

12      r  =  -1/5

 

Sum   =    1  / [ 1 -   -1/5]  =   1 / [ 6/5]  =  5 / 6   

 

 

 

cool cool cool

 Apr 19, 2019

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