Provide an Appropriate Response $\left\{ r _ { n } \mid \right.$

question 356

Multiple Choice

Provide an appropriate response.
-A sequence of rational numbers $\left\{ r _ { n } \mid \right.$ is defined by $r _ { 1 } = \frac { 1 } { 1 }$ , and if $r _ { n } = \frac { a } { b }$ then $r _ { n } + 1 = \frac { a + 5 b } { a + b }$ . Find $\lim _ { n \rightarrow } r _ { n }$ . Hint: Compute the square of several terms of the sequence on a calculator.

• A) \(\sqrt { 6 }\)
• B) \(\sqrt { 10 }\)
• C) \(\sqrt { 5 }\)
• D) 2

---

Definitions:

Net Balance

The amount remaining after all deductions have been made, often used in the context of financial accounts.

Billing Date

The billing date refers to the date on which a bill is generated, outlining the charges incurred by the customer.

Finance Charge

The total cost of borrowing, including interest and other charges, on a loan or on credit provided.

Previous Balance

The amount of money that was owed at the end of the last billing cycle in financial accounts and credit statements.