Prove: for every positive integer n, 2"> n Prove: if a, a, a, are n > 2 real numbers such that a, az... a, 0 then a=0 for some integer i (1≤ i ≤n) Prove: if a sequence is defined recursively by a:=1 and a₁ = n/(n-1) as for no 2 then a-n for every positive integer n