IF Sn=1+1/2+1/2^2+.......+1/(2^n-1),find the least value of n for which 2-Sn<1/100?
1 Answer
Sep 13, 2017
Explanation:
The above sum is a geometric series
The sum of a geometric series is given by
Substitute the values in for the geometric series given in the problem to get
This simplifies down to
We need to find the smallest integer
Manipulate the equation above to obtain