Find the Value of the Limit of the Sequence Defined $$a _ { 1 } = 1 , a _ { n + 1 } = 6 - \frac { 1 } { a _ { n } }$$

question 51

Multiple Choice

Find the value of the limit of the sequence defined by
$$a _ { 1 } = 1 , a _ { n + 1 } = 6 - \frac { 1 } { a _ { n } }$$
Select the correct answer.

• A) \(\frac { 6 + \sqrt { 5 } } { 2 }\)
• B) \(\frac { 6 - \sqrt { 10 } } { 2 }\)
• C) \(\frac { 6 + \sqrt { 10 } } { 2 }\)
• D) \(\frac { 6 - \sqrt { 5 } } { 2 }\)
• E) \(6 + \sqrt { 10 }\)

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Definitions:

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A tube that transports sperm from the testicles to the urethra.

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A surgical procedure that removes the foreskin from the human penis.