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

question 270

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.
- $$\frac { 1 } { 5 } , - \frac { 1 } { 40 } , \frac { 1 } { 320 } , - \frac { 1 } { 2560 } , \ldots$$

• A) \(a _ { n } = \frac { 1 } { 5 } \left( - \frac { 1 } { 8 } \right) ^ { n }\)
• B) \(a _ { n } = \frac { 1 } { 5 } - \frac { 1 } { 8 } ( n - 1 )\)
• C) \(\mathrm { a } _ { \mathrm { n } } = \frac { 1 } { 8 } \left( - \frac { 1 } { 5 } \right) ^ { n - 1}\)
• D) \(a _ { n } = \left( \frac { 1 } { 5 } \right) ^ { n - 1 } - \frac { 9 } { 40 }\)

Analyze percentage increases in financial elements.

Determine gross profit on sales.

Compute acid-test ratios and understand their implications.

Analyze the relationship between net income and net sales.

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Definitions:

Consumer Surplus

The difference between what consumers are willing to pay for a good or service and what they actually pay, representing the additional satisfaction or benefit gained.

Producer Surplus

The contrast between what is an acceptable amount for producers for a good or service and the actual amount they are paid.

Marginal Cost

The extra expenditure linked to producing one more unit of a product or service.

Marginal Benefit

The additional benefit received from consuming one more unit of a good or service.