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

question 76

Multiple Choice

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.

• A) 6
• B) 14
• C) 26
• D) 17
• E) 15

---

Definitions:

Collection Float

The time period between when a check is deposited into a bank account and when the amount is made available.

Cheques

Written, dated, and signed instruments that direct a bank to pay a specific sum of money to the bearer or a specified person.

Deposits

Funds placed into an account at a banking institution for safekeeping, which can include money market accounts, savings accounts, and certificates of deposit.

Outstanding

Refers to shares that are currently held by investors, including both public shareholders and restricted company shares.