Question

PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!!

The sales of homes in a new development have been increasing. In January, 5 homes were sold, in February, 12 homes were sold. In March, 19 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

Answer:
`\bold{(A)\ a_n=7n-2}`

Explanation:

The explicit rule for an arithmetic sequence is:
`a_n=a_1+d(n-1)\quad \text{where}\ a_1\ \text{is the first term and d is the difference}`

In the sequence provided {5, 12, 19, ... }, the first term is 5 and the difference (d) is 12 - 5 = 7

`a_n=5+7(n-1)\\.\quad=5+7n-7\\.\quad=7n-2`