SOLUTION: Find the sum of the geometric series: 1 + 1/4 + 1/16 + 1/64... I tried to do the series but the formula in the turorial was ocnfusing to me. Thanks for any help!

Algebra.Com
Question 65199: Find the sum of the geometric series: 1 + 1/4 + 1/16 + 1/64...
I tried to do the series but the formula in the turorial was ocnfusing to me. Thanks for any help!

Answer by joyofmath(189)   (Show Source): You can put this solution on YOUR website!
Let S be the sum of the series.
Then, .
Multiply each term of the series by 4.
Then, .
Or, .
Subtract S from 4S.
Then, .
So, .

RELATED QUESTIONS

Find the sum of the first 8 terms in the geometric series 1-4+16-64+... (answered by richwmiller)
find the sum of the geometric series 1 + (1/2) + (1/4) + (1/8) + (1/16) +... (answered by stanbon)
The sum of the infinite geometric series: 1+ 1/4+ 1/16+ 1/64 +...is what? Thank you! (answered by MathLover1)
Find the sum of the following series: 1 + 1/2 + 1/3 + 1/4 + 1/9 + 1/8 + 1/27 + 1/16 + (answered by mszlmb)
Another problem I need a little help with. Find the sum of the infinite geometric series (answered by praseenakos@yahoo.com)
Find the sum of the geometric series: 1 + 1/2 + 1/4 + 1/8... (answered by Fombitz)
find the sum of the geometric series. {{{sum( 12(-.7)^(i-1), i=1, infinity... (answered by Edwin McCravy)
Find the sum of the infinite geometric series: 4/3−1/3+1/12−1/48... (answered by Edwin McCravy)
For part (a), find the sum of the first n terms of the geometric series. 60. 1 + 4 +... (answered by richwmiller)