
Finishing With 99
Problem
Consider the following results.
991 = 99
992 = 9801
993 = 970299
994 = 96059601
995 = 9509900499
Prove that 99$n$ ends in 99 for odd $n$.
Problem ID: 141 (Dec 2003) Difficulty: 4 Star

Consider the following results.
991 = 99
992 = 9801
993 = 970299
994 = 96059601
995 = 9509900499
Prove that 99$n$ ends in 99 for odd $n$.