State an Explicit Rule for the Nth Term of the Recursively-Defined

question 82

Multiple Choice

State an explicit rule for the nth term of the recursively-defined sequence.
- $\mathrm { a } _ { \mathrm { n } } = \mathrm { a } _ { \mathrm { n } - 1 } + 8 ; \mathrm { a } _ { 1 } = 1$

• A) \(a _ { n } = 8 + 1 ( n - 1 )\)
• B) \(a _ { n } = 8 + 1 ( n )\)
• C) \(a _ { n } = 1 + 8 ( n )\)
• D) \(a _ { n } = 1 + 8 ( n - 1 )\)

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Definitions:

Purely Competitive Seller

A seller operating in a market where there are many buyers and sellers, no barriers to entry, and products are homogenous, leading to perfect competition.

Total Fixed Cost

The sum of all costs that do not change with the level of output, such as rent, salaries, and insurance premiums.

Short Run

A period in which at least one factor of production is fixed, limiting the ability of a business to adjust to changing market conditions fully.

Variable Cost

A cost that increases when the firm increases its output and decreases when the firm reduces its output.