1. The problem statement, all variables and given/known data Find Ʃ(product) with k=1 as the lower limit, and 50 as the upper limit. The formula is k/(k+2) 2. Relevant equations 3. The attempt at a solution I noticed a pattern where the first few numbers are: 1/3, 2/4, 3/5, 4/6, 5/7 The denominator should cancel with the numerator of the next number in the pattern. I noticed this pattern for the odd numbered fractions. The last number in this odd numbered series will be 49/51, for which there are no cancellations possible, I think. For the even numbers, the pattern starts with 2/4 and ends with 50/52. I think the fraction left will be (1*2)/(51*52)= 1/(51*26) Is this logic right? I at first thought ..there is NO way they want me to multiply it out, and then realized there must be a pattern. So I tried and I hope I've got something. Thanks!