Question

The sales of homes in a new development have been increasing. In January, 8 homes were sold, in February, 12 homes were sold. In March, 16 homes were sold. This pattern continued for the remainder of the year.

What is the explicit rule that can be used to find the number of homes sold in the nth month of the year?

Answer 1

aₙ = 8 + 4(n-1)

Explanation:

where 8 is the first term in the series and 4 is the common difference

Answer 2

an=4n+4

Explanation:

well it goes up by 4 every month so thats 4n, since 8, 12, 16.

but since we need to know the explicit formula we need to find the term before 8. So Its adding every month so the month preious to a1 is gonna be 4. Since 8 - 4 is 4.

an = 4n + 4