$$\text { Use mathematical induction to prove that } 80 \text { is a factor of } 2 ^ { 8 n + 2 } + 16 \text { for all positive } n \text {. }$$

$$\text { Use mathematical induction to prove that } 80 \text { is a factor of } 2 ^ { 8 n + 2 } + 16 \text { for all positive } n \text {. }$$