Write an Expression for the N Th Term of the Sequence

question 42

Multiple Choice

Write an expression for the n th term of the sequence $\frac { 1 } { 6 } , - \frac { 1 } { 36 } , \frac { 1 } { 216 } , - \frac { 1 } { 1296 } , \ldots$ Assume that n begins with 1.

• A) \(a _ { n } = \frac { ( - 1 ) ^ { n } } { 6 ^ { n + 2 } }\)
• B) \(a _ { n } = \frac { ( - 1 ) ^ { n + 1 } } { 6 ^ { n + 1 } }\)
• C) \(a _ { n } = \frac { ( - 1 ) ^ { n } } { 6 ^ { n + 1 } }\)
• D) \(a _ { n } = \frac { ( - 1 ) ^ { n + 1 } } { 6 ^ { n } }\)
• E) \(a _ { n } = \frac { ( - 1 ) ^ { n } } { 6 ^ { n } }\)

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Definitions:

Group-Oriented Contingency

A behavior management approach where the consequences for behavior are applied to a group rather than individuals, often used to promote teamwork and collective responsibility.

Premack Principle

A psychological principle which states that a more probable behavior can serve as a reinforcement for a less probable behavior.

Good Behavior Game

A type of group-oriented contingency that encourages competition between groups and cooperation within groups. Classroom rules are posted and reviewed, and then the class is divided into two or more groups. The teacher makes a tally mark on the chalkboard whenever she observes a student breaking one of the rules. The team with fewer than five tally marks “wins” free time and other privileges at the end of the day. Both teams can “win” if neither has more than five tally marks.

Token Economy

A behavior modification system that uses tokens as reinforcement for desired behaviors, which can be exchanged for rewards.