Summary: SOLUTION TO PROBLEM 643
PROPOSED BY W. F. TRENCH
Tewodros Amdeberhan
DeVry Institute, Mathematics
630 US Highway One, North Brunswick, NJ 08902
amdberhan@admin.nj.devry.edu
Problem 643: Suppose that ar 0 for all nonnegative integers r and
P1
r=0 ar = A 1. Let
1 n = 1
n
n,1X
r=0
n,1X
s=0
ar+s and n = 1
n
n,1X
r=0
n,1X