Abstract Algebra: Theory and Applications · Problem 2.4.6

Groups — Thomas Judson

Mathematics — Abstract Algebra · induction-divisibility-99

Problem

Prove that 4⋅102n+9⋅102n−1+54 \cdot 10^{2n} + 9 \cdot 10^{2n-1} + 5 is divisible by 99 for n∈Nn \in \mathbb{N}.

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