Question

What is the explicit formula for this sequence?

Answer 1

Answer:

$\text{C. }a_n=-8+(n-1)5$

Step-by-step explanation:

The explicit formula for an arithmetic sequence is given by $a_n=a_1+(n-1)d$, where $a_n$ is the $n$th, $a_1$ is the first them of the sequence, and $d$ is the common difference.

In the given sequence -8, -3, 2, 7, we can see that we're adding 5 to each term. Therefore, the common different is positive five (+5). We can also identify the first term is -8. Therefore, we have:

• $a_1=-8$
• $d=5$

Thus, the explicit formula for this sequence is:

$\boxed{a_n=-8+(n-1)5}$