Right off, sorry for the title, couldnt think of a good one.
Suppose I have a 2 vectors vector P = [ ]'
and Q = [ ] where all of the elements in both of these vectors sum up to 1.
Prove that if a sequence of vectors satisfies
for all k = 1...n, then it must be the case that for all j. Where A_k is just some non-negative constant.