6

Part of 1998 Tuymaada Olympiad

Problems(1)

sequence of first digits of numbers in the form 2^n+3^n nonperiodic

Source: Tuymaada 1998 p6

Prove that the sequence of the first digits of the numbers in the form

2^n+3^n

is nonperiodic.

number theoryDigitsDigitperiodicPeriodic sequence