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) \(a _ { 1 } = 6 , a _ { 2 } = - \frac { 1 } { 6 } , a _ { 3 } = 6 , a _ { 4 } = - \frac { 1 } { 6 } , a _ { 5 } = 6\)

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Definitions:

Conclusion Indicator

A word or phrase that signals the end of an argument or the summary of the main points.

Valid Deductive Argument

A logical argument where, if the premises are true, the conclusion necessarily follows, ensuring its validity.

Conclusion

The proposition in an argument that is supported on the basis of other propositions.

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Statements or assertions used in arguments that provide the meaning or explanation of terms used within the argument.