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

question 18

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.
- $3 , \frac { 3 } { 2 } , \frac { 3 } { 4 } , \frac { 3 } { 8 } , \frac { 3 } { 16 } , \ldots$

• A) \(a _ { n } = 3 \left( \frac { 1 } { 2 } \right) ^ { n - 1 }\)
• B) \(a _ { n } = 3 \left( \frac { 1 } { 2 } \right) ^n\)
• C) \(a _ { n } = 3 \left( \frac { 1 } { 2 } \right)^{ n + 1}\)
• D) \(a _ { n } = 3 \left( \frac { 1 } { 4 } \right)^{ n - 1}\)

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Definitions:

Production Possibilities

A curve or frontier that shows the maximum combinations of goods or services that can be produced with a given set of resources and technology.

Marginal Product

The additional output that is produced by using one more unit of a factor of production, while holding other factors constant.

Customers Served

The number of individual clients or consumer accounts that a business has provided with goods or services.

Capital Costs

Expenses incurred in acquiring or upgrading physical assets such as buildings and machinery.