239

Part of 1977 All Soviet Union Mathematical Olympiad

Problems(1)

ASU 239 All Soviet Union MO 1977 b_n=a_{n+1}-a_n/2 ->0 => a_n ->0

Source:

Given infinite sequence

a_n

. It is known that the limit of

b_n=a_{n+1}-a_n/2

equals zero. Prove that the limit of

a_n

limitalgebraSequence