1. The problem statement, all variables and given/known data ( xn ) is given. ym = ( x1 + . . . + xm ) / m show that if xn converges to M, then ym converges to M 2. Relevant equations Definition of convergence for sequences 3. The attempt at a solution I've tried a whole page full of algebraic manipulation. I found a recursive definition of ym, found xn in terms of ym and ym-1, and I've tried showing that abs(xn - L) < e, implies abs(bm - L) < e, all to no avail. I'd really appreciate some guidance.