Number Theory about sequence
Source: 239 MO (8-9).2/(10-11).3
May 2, 2021
number theory
Problem Statement
Given are two distinct sequences of positive integers and , such that their first two members are coprime and smaller than , and each of the next members is the sum of the previous two.
8-9 grade Prove that if is divisible by , then
10-11 grade Prove that if is divisible by then