Use the Formula for the General Term of a Geometric $$\mathbf { a } _ { 1 }$$

question 290

Multiple Choice

Use the Formula for the General Term of a Geometric SequenceUse the formula for the general term (the nth term) of a geometric sequence to find the indicated term of the
sequence with the given first term, $$\mathbf { a } _ { 1 }$$ , and common ratio, r.
- $- 3 , - 9 , - 27 , - 81 , - 243 , \ldots$

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

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Definitions:

Pretax Rate of Return

The rate of return on an investment before taxes have been considered or deducted.

After-Tax Return

The net profit or loss of an investment after all taxes have been deducted.

Tax Bracket

A range of incomes taxed at a given rate by the government to implement a progressive tax system, where the rate increases as the taxable amount increases.

Dividend Yield

A ratio that compares the amount a company pays annually in dividends to the price of its shares.