Write the First Five Terms of the Sequence Defined Recursively $$a _ { 1 } = 6 , a _ { n } = - \frac { 1 } { a _ { n - 1 } }$$

question 250

Multiple Choice

Write the first five terms of the sequence defined recursively.
- $$a _ { 1 } = 6 , a _ { n } = - \frac { 1 } { a _ { n - 1 } }$$

• A) \(a _ { 1 } = 6 , a _ { 2 } = \frac { 1 } { 6 } , a _ { 3 } = \frac { 1 } { 36 } , a _ { 4 } = \frac { 1 } { 216 } , a _ { 5 } = \frac { 1 } { 1,296 }\)
• B) \(a _ { 1 } = 6 , a _ { 2 } = \frac { 1 } { 6 } , a _ { 3 } = 6 , a _ { 4 } = \frac { 1 } { 6 } , a _ { 5 } = 6\)
• C) \(a _ { 1 } = 6 , a _ { 2 } = - \frac { 1 } { 6 } , a _ { 3 } = \frac { 1 } { 36 } , a _ { 4 } = - \frac { 1 } { 216 } , a _ { 5 } = \frac { 1 } { 1,296 }\)
• D) \(a _ { 1 } = 6 , a _ { 2 } = - \frac { 1 } { 6 } , a _ { 3 } = 6 , a _ { 4 } = - \frac { 1 } { 6 } , a _ { 5 } = 6\)

---

Definitions:

Surveillance Cameras

Electronic devices used for monitoring activities in various environments to enhance security, gather evidence, or observe behavior.

Supply Rooms

Rooms or spaces designated for the storage of supplies, equipment, and materials necessary for the operation of a business or organization.

Legal Consequences

The outcomes or effects that arise from the application of law, including penalties, obligations, or rights that result from lawful or unlawful actions.

Unjust Enrichment

Refers to a situation where one party unfairly benefits at another's expense and is legally required to compensate the victim to correct the imbalance.