SOLUTION: I need to find the sum of the series (1/2^n) from 1 approaching infinity. I used the formula a/1-r my first term is 1/2 and Im having difficulty finding my ratio. I first th

Algebra ->  Sequences-and-series -> SOLUTION: I need to find the sum of the series (1/2^n) from 1 approaching infinity. I used the formula a/1-r my first term is 1/2 and Im having difficulty finding my ratio. I first th      Log On


   



Question 887117: I need to find the sum of the series (1/2^n) from 1 approaching infinity.
I used the formula a/1-r
my first term is 1/2 and Im having difficulty finding my ratio. I first thought my ratio was 2 since that is what n is being multiplied by. But that didn't work. I also tried 1/2 but that didn't work either.

Answer by Edwin McCravy(20060) About Me  (Show Source):
You can put this solution on YOUR website!
1%2F2 does work!

You are talking about %22%22=%22%221%2F2%5E1%2B1%2F2%5E2%2B1%2F2%5E3%2B%22%22%2A%22%22%2A%22%22%2A%22%22

Certainly the common ratio is r=1%2F2 because any term after the first
divided by the preceding term is always 1%2F2

S%5Binfinity%5D%22%22=%22%22a%5B1%5D%2F%281-r%29, with a%5B1%5D=1%2F2, r=1%2F2

S%5Binfinity%5D%22%22=%22%22%281%2F2%29%2F%281-expr%281%2F2%29%29%22%22=%22%22%281%2F2%29%2F%281%2F2%29%22%22=%22%221.

Edwin