MathDB

1997 MMO Grade 10 #6

Source:

October 4, 2016

Grade 101997

Problem Statement

Consider the sequence formed by the first digits of the powers of

5

1,5,2,1,6,...

Prove any segment in this sequence, when written in reversed order, will be encountered in the sequence of the first digits of the powers of

2:

1,2,4,8,1,3,6,1...