Identify the 12th term of the arithmetic sequence in which a7 = 40 and a18 = 106.

we are given

airthematic sequence

we can use nth term formula

n is number of terms

an is nth term

d is common difference

a1 is first term

We are given

a7=40

we can use it

a18 = 106

we can subtract both equations

now, we can find a1

we can plug d=6

12th term:

now, we can plug values

so, 12th term is 70...........Answer