SOLUTION: Find the sum 1+ 1/2+1/4+...+1/1024 an=1+(n-1) ^ -1/2

Question 248545: Find the sum 1+ 1/2+1/4+...+1/1024
an=1+(n-1) ^ -1/2
Answer by edjones(8007) (Show Source): You can put this solution on YOUR website!
(1/2)/1=1/2
(1/4)/(1/2)=1/2
r=1/2 Geometric sequence.

(1/2)^(n-1)=1/1024
log[1/2]((1/2)^n-1)=log[1/2](1/1024) Finding n
n-1=10
n=11
Sum of a finite geometric sequence.
=
=.9995/.5
=1.999... the sum
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