Use Mathematical Induction to Prove the Given Statement for All $$\text { If } 0 < x < 1 \text {, then } x ^ { n } < x ^ { n - 1 } \text {. }$$

question 33

Short Answer

Use mathematical induction to prove the given statement for all positive integers n and real numbers x
and y.
- $$\text { If } 0 < x < 1 \text {, then } x ^ { n } < x ^ { n - 1 } \text {. }$$

---

Definitions:

Liabilities

Debts or financial responsibilities a business has to people or entities outside of it.

Increase Net Income

Actions or strategies aimed at raising the amount of profits a company keeps after deducting all expenses, taxes, and costs.

Stockholders' Equity

The remaining interest in a company's assets after all liabilities have been subtracted, also referred to as shareholders' equity.

Unearned Revenue Account

A liability account that records payments received for goods or services not yet delivered or performed.