Respuesta :

Answer:

C

Step-by-step explanation:

So we have the following sequence:

-7, -3, 1, 5...

As given, the (direct) formula for any arithmetic sequence is:

[tex]a_n=a_1+d(n-1)[/tex]

Where aₙ is the value of the nth term, a₁ is the value of the first term, and d is the common difference.

From the sequence, we can see that the initial/first term is -7. Thus, a₁ is -7.

And we can see that each subsequent number if 4 greater than the previous one. Thus, the common difference is +4.

Therefore, plugging these into our equation, we have:

[tex]a_n=-7+4(n-1)[/tex]

The answer is C.