## amistre64 5 years ago does $\frac{1}{1-2x}=2^n$?

1. anonymous

not if x = 3!

2. amistre64

what are the steps to get it from the left to the right?

3. amistre64

apparently discrete math is my achilles heel lol

4. anonymous

this question honestly does not make any sense. you have an x on one side and n on the other.

5. anonymous

^^I agree.

6. amistre64

hmmm..... well, i think i write it right..

7. amistre64

should there be an 'n' up top instead of a 1?

8. anonymous

Then I think they are not equal.

9. anonymous

ooooooooooooohhhhhhhhh i bet i see what this should be. maybe. $\frac{1}{1-x}=\Sigma x^n$ for -1<x<1 now if we replace x by 2x we get $\frac{1}{1-2x}=\Sigma (2x)^n = \Sigma 2^nx^n$ for $-\frac{1}{2}<x<\frac{1}{2}$ perhaps this is what you had in mind?

10. amistre64

that looks more like it :)