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Mr. Brown's salary is $32,000 and it increases by 3% each year. What is the explicit rule for this sequence in simplified form?

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Final answer:

The explicit rule for this sequence in simplified form is given by a_n = a_1(1 + r)^(n-1), where a_n represents the salary at year n, a_1 represents the initial salary, r represents the growth rate, and n represents the number of years. In this case, Mr. Brown's salary is $32,000 and it increases by 3% each year.

Step-by-step explanation:

The explicit rule for this sequence in simplified form is given by:

an = a1(1 + r)n-1

where:

  • an represents the salary at year n
  • a1 represents the initial salary
  • r represents the growth rate
  • n represents the number of years

In this case, Mr. Brown's salary is $32,000 and it increases by 3% each year, so we have:

an = $32,000(1 + 0.03)n-1

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