Let's look at extremes:austin wrote:S=1/33+1/34+1/34+...+1/64, S should lie between
1/4<S<1/2
1/2<S<1
1/8<S<1/2
1/8<S<1/4
3/4<S<1
if every term in the set were 1/33, then the sum would be 32*(1/33) = 32/33
if every term in the set were 1/64, then the sum would be 32*(1/64) = 32/64 = 1/2
Therefore, we know that the sum must lie between 1/2 and 1.
