Solve the Problem $a _ { n } = 3 ( 7 ) ^ { n - 1 } ; 1029$

question 134

Multiple Choice

Solve the problem.
-A bacteria culture starts with 7 units and triples every day. Write the general term of the sequence that describes the growth of this culture. Find the number of bacteria units there will be at the beginning of the fourth day.

• A) \(a _ { n } = 3 ( 7 ) ^ { n - 1 } ; 1029\) units
• B) \(\mathrm { a } _ { \mathrm { n } } = ( 7 ) ^ { \mathrm { n } } ; 2401\) units
• C) \(a _ { n } = 7 ( 3 ) ^ { n - 1 } ; 189\) units
• D) \(a _ { n } = 7 ( 3 ) ^ { n } ; 567\) units

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Definitions:

Fixed Costs

Rent, salaries, and insurance are examples of expenses unaffected by changes in production or sales levels.

Variable Costs

Expenditures that fluctuate in accordance with the amount of products made or sold.

Inventoriable Costs

Expenses directly connected to the production of goods that are initially recorded as inventory and expensed as cost of goods sold when the goods are sold.

Manufacturing Overheads

All indirect costs associated with the production process, including utilities, maintenance, and factory management salaries.