SOLUTION: Find the sum of the infinite series: 12-1+1/12-1/144+...

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Question 1084075: Find the sum of the infinite series:
12-1+1/12-1/144+...
Answer by ikleyn(52866) About Me  (Show Source):
You can put this solution on YOUR website!
.
Infinite geometric progression with the first term 12 and the common ratio -1%2F12.


The formula for the sum of such progression 

S = a + ar + ar^2 + ar^ + . . . 

is  S = a%2F%281-r%29.


In your case it is

S = 12%2F+%281-%28-1%2F12%29%29.


Now turn your brain ON and calculate it on your own.