SOLUTION: Please help me solve this equation. Find the sum of the infinite geometric series, if it exists. 4-8/3+16/9+...

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Question 602654: Please help me solve this equation.
Find the sum of the infinite geometric series, if it exists.
4-8/3+16/9+...
Answer by AnlytcPhil(1810) About Me  (Show Source):
You can put this solution on YOUR website!
a%5B1%5D = 4.  To find r, divide 2nd term by 1st term

-8%2F3÷4%7D%7D+=+%7B%7B%7B-8%2F3·1%2F4 = -2%2F3


S%5Binfinity%5D = a%5B1%5D%2F%281-r%29 = 4%2F%281-%28-2%2F3%29%29 = 4%2F%281%2B2%2F3%29 = 4%2F%283%2F3%2B2%2F3%29 = 4%2F%285%2F3%29 = 4%2Aexpr%283%2F5%29 = 12%2F5
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Edwin