Question

Identify the explicit function for the sequence in the table.

Answer 1

Answer:

A.

$a_n=9+(n-1)\cdot 5$.

Step-by-step explanation:

The common difference is 5. The y values are going up by 5. So this is an arithmetic sequence since we have a common difference.

The explicit form for arithmetic sequence is:

$a_n=a_1+(n-1) \cdot d$ where d represents the commom difference and $a_1$ is the first term.

Here the first term is $a_1=9$ and we already determined the value for d which is 5.

Inputing these values for first term and common difference give:

$a_n=9+(n-1)\cdot 5$.