Find a formula for the nth term of the arithmetic sequence

Question

Second term -12 Common difference 5

a_n=[?]n+[ ]

Answer 1

a2 = -12, d=5

a2 - a1 = 5

a1 = a2 -5 = -12-5 = -17

an = a1 +d(n-1) =

an = -17 +5(n-1) is where some stop, but it can be simplified further

= 5n -22

an = 5n -22 = the nth term