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

question 73

Multiple Choice

Provide an appropriate response.
-A sequence of rational numbers $\left\{ r _ { n } \right\}$ 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) 2
• B) \(\sqrt { 6 }\)
• C) \(\sqrt { 10 }\)
• D) \(\sqrt { 5 }\)

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