Find the term named in the problem, and the explicit formula. -32,-132,-232,-332,… find a40

We need to find the n term formula:

The given sequence represents an arithmetic sequence and it follows the next form:

Where a represents the first term, in this case, a= -31

n is the term of the sequence

And d is the constant:

Let's find the constant

a1 to a2 =

-32 to -132, then, -32 needs -100 units bo equal to -132.

Now, -132 need -100 units to be equal to -232.

-232 needs -100 units to be equal to -332

Therefore, the constant d is equal to -100, d=-100

Replacing these values:

Then:

With this n formula, we can replace n=40, then, we will find a40:

Therefore:

your answer is a

step-by-step explanation:

4*4*4*4=256