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) \(6 + \sqrt { 10 }\)

---

Definitions:

True Statement

A declaration or assertion that is accurate and based on facts.

Unfair Competition

The act of competing with another not to make a profit but for the sole purpose of driving that other out of business.

Intentional Interference

Deliberate actions taken by one party to impede the contractual relations of another party causing economic harm.

Disparagement

Disparagement involves making damaging statements or publications about someone's business or products, potentially harming their reputation or commercial interests.