Question

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?

Answer 1

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