A Sequenceis $\left\{ a _ { n } \right\}$ Defined Recursively by the Equation

question 10

Short Answer

A sequenceis $\left\{ a _ { n } \right\}$ defined recursively by the equation $a _ { n } = 0.5 \left( a _ { n - 1 } + a _ { n - 2 } \right)$ for $n \geq 3$ where $a _ { 1 } = 14 , a _ { 2 } = 14$ .
Use your calculator to guess the limit of the sequence.

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Definitions:

Option Agreements

Legal contracts that give the holder the right, but not the obligation, to buy or sell an asset at a predetermined price and date.

Assignment of Rights

The transfer of rights or interests in a contract or property from one party to another.

Breach of Contract

An act of failing to fulfill the terms and conditions as agreed upon in a contract, leading to legal action for redress.

Agent

One who acts under the direction of a principal for the principal’s benefit in a legal relationship known as agency. See also principal.