$$\text { Use mathematical induction to prove that } 160 \text { is a factor of } 2 ^ { 4 n + 3 } + 32 \text { for all positive } n \text {. }$$

$$\text { Use mathematical induction to prove that } 160 \text { is a factor of } 2 ^ { 4 n + 3 } + 32 \text { for all positive } n \text {. }$$