Solve the Recurrence Relation Either by Using the Characteristic Equation $$a _ { n } = a _ { n - 1 } + 3 n , \quad a _ { 0 } = 5$$

question 3

Short Answer

solve the recurrence relation either by using the characteristic equation or by discovering a pattern formed by the terms.
- $$a _ { n } = a _ { n - 1 } + 3 n , \quad a _ { 0 } = 5$$

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Definitions:

Budget Line

This line delineates the combos of two goods a consumer can procure, given their income and the goods' prices, demonstrating the trade-offs and opportunity costs within their budget.

Consumption

The use of goods and services by households or individuals, often measured to understand economic activity and consumer behavior.

Bushels

A unit of volume measure used primarily for agricultural products, with the size varying by product.

Investment

The allocation of resources, usually financial, in the expectation of generating an income or profit, including purchases of financial instruments or capital assets.