Write a Formula for the General Term, or Nth Term $a _ { n } = - 3 + ( - 3 ) ^ { n }$

question 46

Multiple Choice

Write a formula for the general term, or nth term, for the given sequence.
--3, 9, -27, 81, . . .

• A) \(a _ { n } = - 3 + ( - 3 ) ^ { n }\)
• B) \(a _ { n } = - 9 ^{n - 1}\)
• C) \(a _ { n } = - 3 ( - 3 ) ^ { n - 1 }\)
• D) \(a _ { n } = - 3 ( - 3 ) ^ { n }\)

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Definitions:

Ordinary Annuity

An annuity in which the payments are made at the end of each payment interval.

Monthly Payments

Regular payments made every month, often in the context of loans or leases, to repay borrowed money plus interest.

Compounded Annually

The process of calculating interest on both the initial principal and the accumulated interest from previous periods on an annual basis.

Yearly Contributions

These are amounts of money contributed to any type of savings or investment plan on an annual basis.