Use the Principle of Mathematical Induction to Show That the Statement

question 57

Essay

Use the Principle of Mathematical Induction to show that the statement is true for all natural numbers n.
- $$\frac { 1 } { 2 } + \frac { 1 } { 4 } + \frac { 1 } { 8 } + \frac { 1 } { 16 } + \ldots + \frac { 1 } { 2 ^ { n } } = 1 - \frac { 1 } { 2 ^ { n } }$$

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Definitions:

Trade Credit

Credit granted in the normal course of business between companies. That is, vendors don’t usually demand immediate payment for their products.

Unsecured Creditors

Lenders or creditors who have extended loans without any collateral. If the borrower defaults, these creditors have no claim to any assets of the borrower.

Short-Term Funds

Short-Term Funds are investment vehicles that invest in securities with short maturity periods, usually less than one year, providing liquidity and income.

Trade Credit

A type of commercial financing in which a buyer is allowed to purchase goods or services and pay the supplier at a later scheduled date.