MathDB

ASU 356 All Soviet Union MO 1983 a_n last digits of [\sqrt{10}^n], periodical

Source:

July 28, 2019

Sequencenumber theoryperiodicallast digitsDigitsfloor function

Problem Statement

The sequences

a_n

and

b_n

members are the last digits of

[\sqrt{10}^n]

and

[\sqrt{2}^n]

respectively (here

[ ...]

denotes the whole part of a number). Are those sequences periodical?