Use Mathematical Induction to Prove the Following$$\text { If } a \text { is } a \text { constant and } 0

Question

Use Mathematical Induction to Prove the Following$$\text { If } a \text { is } a \text { constant and } 0 < a < 1 \text {, then } a ^ { n } < a ^ { n - 1 } \text {. }$$

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The Answer of Use Mathematical Induction to Prove the Following$$\text { If } a \text { is } a \text { constant and } 0 < a < 1 \text {, then } a ^ { n } < a ^ { n - 1 } \text {. }$$

Use Mathematical Induction to Prove the Following $\text { If } a \text { is } a \text { constant and } 0 < a < 1 \text {, then } a ^ { n } < a ^ { n - 1 } \text {. }$

Definitions:

Use Mathematical Induction to Prove the Following If a is a constant and 0<a<1, then an<an−1. \text { If } a \text { is } a \text { constant and } 0 < a < 1 \text {, then } a ^ { n } < a ^ { n - 1 } \text {. } If a is a constant and 0<a<1, then an<an−1.

Definitions:

Use Mathematical Induction to Prove the Following $\text { If } a \text { is } a \text { constant and } 0 < a < 1 \text {, then } a ^ { n } < a ^ { n - 1 } \text {. }$