Hi, 1. The problem statement, all variables and given/known data How may I find to what number Ʃ(m=1 to ∞) m/2m-1 converges? Further, suppose I know it converges to 4, why would then E(Y), given that P(Y) = 1/2m-1, be equal to 2 (thus asserted the answer) and not 4? 2. Relevant equations 3. The attempt at a solution I am really not sure how to analyse that series. I have managed to determine, through the ratio test, that it indeed converges, but I am not sure how to break it down so that it could be easily determined to what number it converges. I'd truly appreciate some assistance.