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

question 209

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.
- $$5 , - 10,20 , - 40,80 , \ldots$$

• A) \(\mathrm { a } _ { \mathrm { n } } = 5 ( - 2 ) ^ { \mathrm { n } - 1 }\)
• B) \(a _ { n } = 5 ( - 2 ) ^ { n }\)
• C) \(a _ { n } = a _ { 1 } - 2 ^ { n }\)
• D) \(a _ { n } = 5 ( - 2 n )\)

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Definitions:

Inflation

A measure of the rate at which the general level of prices for goods and services is rising, and, subsequently, purchasing power is falling.

Inflation Rate

The rate at which the overall cost of goods and services in an economy increases over time.

Tax Rate

The percentage at which an individual or corporation is taxed by the government on income or profits.

M x V = P x Y

The equation representing the quantity theory of money, where M is the money supply, V is the velocity of money, P is the price level, and Y is the real output.