58

Part of 1984 IMO Longlists

Problems(1)

a_n <= a_{n+m} <= a_n + a_m

Source:

(a_n)_1^{\infty}

be a sequence such that

a_n \le a_{n+m} \le a_n + a_m

for all positive integers

n

m

\frac{a_n}{n}

n

approaches infinity.

inequalitieslimitalgebra unsolvedalgebra