Use Mathematical Induction to Prove That the Statement Is True $$10 + 20 + 30 + \ldots + 10 n = 5 n ( n + 1 )$$

question 301

Essay

Use mathematical induction to prove that the statement is true for every positive integer n.
- $$10 + 20 + 30 + \ldots + 10 n = 5 n ( n + 1 )$$

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Definitions:

Derived Demand

Demand for a factor of production or good that results from the demand for another related good or service.

Substitution Effect

The change in consumption patterns due to a shift in relative prices that makes one product more economically attractive than another.

Output Effect

The output effect refers to the impact changes in production volume have on a company's total costs and profitability.

Substitute Resource

A resource that can be used in place of another in production processes, often influencing supply and price levels.