Question

I will never get the hang of these questions help

Answer 1

First term is -7, so a_1 = -7

To get the next term, we add on 4. We can see this if we subtract like so
d = (2nd term) - (1st term) = (-3) - (-7) = -3+7 = 4

So d = 4 is the common difference. 

Apply a_1 = -7 and d = 4 to get...
a_n = a_1 + d*(n-1)
a_n = -7 + 4*(n-1)
a_n = -7 + (n-1)*4

Answer: Choice A