Use Mathematical Induction to Prove That the Statement Is True $\text { If } 0 < a < 1 \text {, then } a ^ { n } < a ^ { n - 1 } \text {. }$

Essay

Use mathematical induction to prove that the statement is true for every positive integer n.
- $\text { If } 0 < a < 1 \text {, then } a ^ { n } < a ^ { n - 1 } \text {. }$