Find an Explicit Rule for the Nth Term of the Sequence

question 111

Multiple Choice

Find an explicit rule for the nth term of the sequence.
- $$3 , - 12,48 , - 192 , \ldots$$

• A) \(a _ { n } = 3 \cdot 4 ^ { n + 1 }\)
• B) \(a _ { n } = 3 \cdot ( - 4 ) ^ { n - 1 }\)
• C) \(a _ { n } = 3 \cdot ( - 4 ) ^ { n }\)
• D) \(a _ { n } = 3 \cdot 4 ^ { n - 1 }\)

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Definitions:

All Equity Firm

A company that finances all of its operations, investments, and assets through stock equity rather than taking on any debt.

Closely Held

Refers to a company that has a small group of controlling shareholders, with limited public trade of its shares.

Borrow

To receive something of value with the promise to return it or its equivalent to the lender at a later date.

Bond Issue

The process by which a borrower issues bonds to lenders or investors to raise capital under specified terms.