This question is from the book Abstract Algebra: Theory and Applications by Thomas W. Judson.
Chapter 2 – Question 5
Prove that $10^{n+1} + 10^n + 1$ is divisible by 3 for $n \in \mathbb{N}$.
This question is from the book Abstract Algebra: Theory and Applications by Thomas W. Judson.
Prove that $10^{n+1} + 10^n + 1$ is divisible by 3 for $n \in \mathbb{N}$.