SOLUTION: The sum of the infinite geometric series: 1+ 1/4+ 1/16+ 1/64 +...is what? Thank you!

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Question 742211: The sum of the infinite geometric series: 1+ 1/4+ 1/16+ 1/64 +...is what?
Thank you!
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

1%2B+1%2F4%2B+1%2F16%2B+1%2F64++..
the ratio by which the terms increase is 1%2F4 (if you multiply first term by 1%2F4 you get second term 1%2F4,if you multiply second term by 1%2F4 you get %281%2F4%29%281%2F4%29=1%2F16, etc.)


Sn+=+a1%281-r%5En%29+%2F+%281-r%29........... In this equation,
"Sn" is the sum of the geometric series, "a%5B1%5D" is the first term in the series, "n" is the number of terms and "r" is the ratio by which the terms increase