EDIT: Found the answer, seems I overlooked part of the solution in the learning materials ( answer extended into another page) the Solution does indeed equal what i thought it did. 1. The problem statement, all variables and given/known data So this is the problem i have: (2(-1)^n -((n*pi)^2(-1)^n)-2)*(8/(n*pi)^3) where n = any natural number this equation equals: ( (n*pi)^2-4)*(8/(n*pi)^3) i cannot figure out how this works, if n = 1 the equation works, but if n = 2, then shouldn't the answer be: ( -(n*pi)^2)*(8/(n*pi)^3) ? for simplification, removing the (8/(n*pi)^3) (2(-1)^n -((n*pi)^2(-1)^n)-2) where n = any natural number = ( (n*pi)^2-4) or ( -(n*pi)^2) ? Any help would be appreciated. 2. Relevant equations 3. The attempt at a solution See above.