Consider the Recursive Sequence Defined By $x _ { 1 } = 1 ; x _ { n + 1 } = \frac { x _ { n } ^ { 2 } + 2 } { 2 x _ { n } } , n > 1$

question 259

Essay

Consider the recursive sequence defined by $x _ { 1 } = 1 ; x _ { n + 1 } = \frac { x _ { n } ^ { 2 } + 2 } { 2 x _ { n } } , n > 1$ . Evaluate the first
three terms of this sequence.

---

Definitions:

Fixed Costs

Costs that remain constant regardless of a company's level of activity, including expenses like lease payments, wages, and premiums.

Break-even Point

The point at which total costs and total revenue are equal, meaning no net loss or gain, and the business has "broken even."

Sales Dollars

A term used to represent the total value, in monetary terms, of all sales transactions within a specified period.

Variable Costs

Operating expenses that fluctuate based on business operations.