## Finishing With 99

#### Problem

Consider the following results.

99^{1} = **99**

99^{2} = 9801

99^{3} = 9702**99**

99^{4} = 96059601

99^{5} = 95099004**99**

Prove that 99^{n} ends in 99 for odd `n`.

Problem ID: 141 (Dec 2003) Difficulty: 4 Star

Consider the following results.

99^{1} = **99**

99^{2} = 9801

99^{3} = 9702**99**

99^{4} = 96059601

99^{5} = 95099004**99**

Prove that 99^{n} ends in 99 for odd `n`.

Problem ID: 141 (Dec 2003) Difficulty: 4 Star