This question is from the book Abstract Algebra: Theory and Applications by Thomas W. Judson.
Chapter 2 – Question 6
Prove that $4 \cdot 10^{2n} + 9 \cdot 10^{2n-1} + 5$ is divisible by 99 for $n \in \mathbb{N}$.
This question is from the book Abstract Algebra: Theory and Applications by Thomas W. Judson.
Prove that $4 \cdot 10^{2n} + 9 \cdot 10^{2n-1} + 5$ is divisible by 99 for $n \in \mathbb{N}$.