Geometric series
Algebra
Level
pending
FInd,
1+2^(-1)+2^(-2)+2^(-3)+2^(-4)...=?
FInd this without using the infinite geometric progression formula. You should derive it to use it
2^(-1)
2
1
infinity
This section requires Javascript.
You are seeing this because something didn't load right. We suggest you, (a) try
refreshing the page, (b) enabling javascript if it is disabled on your browser and,
finally, (c)
loading the
non-javascript version of this page
. We're sorry about the hassle.
1 solution
let 2^(-1) be x, 1+x^(1)+x^(2)...=u 1+x(1+x+x^2+x^(3)...)=u 1+xu=u 1=u-ux 1=u(1-x) 1(1-x)=u 1(1-2^(-1))=2