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

Essay

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