Use Factorial Notation
Write the First Four Terms of the Sequence

question 261

Multiple Choice

Use Factorial Notation
Write the first four terms of the sequence whose general term is given.
- $$a _ { n } = \frac { 3 ^ { n } } { ( n + 3 ) ! }$$

• A) \(\frac { 1 } { 8 } , \frac { 3 } { 40 } , \frac { 3 } { 80 } , \frac { 9 } { 560 }\)
• B) \(\frac { 3 } { 7 } , \frac { 9 } { 8 } , 3 , \frac { 81 } { 10 }\)
• C) \(\frac { 4 } { 3 } , \frac { 9 } { 5 } , \frac { 9 } { 2 } , \frac { 7 } { 81 }\)
• D) \(\frac { 1 } { 8 } , \frac { 3 } { 40 } , \frac { 3 } { 40 } , \frac { 9 } { 280 }\)

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Definitions:

MR

Marginal Revenue, the additional income earned from selling one more unit of a good or service.

AVC

Average variable cost; the total variable costs divided by the quantity of output produced, illustrating cost per unit.

Break Even

The point at which total costs and total revenue are equal, resulting in no net loss or gain for a business.

Variable Costs

Costs that vary directly with the level of production or output, such as materials and labor costs.