Question

What is the equation used to find the nth term of the arithmetic sequence:
-8, -5 -2, 1, 4

Answer 1

aₙ = 3n - 11

Explanation:

The equation of the nth term of the arithmetic sequence is:
`a_n =a_1+d(n-1)`

d = -5 - (-8) = - 5 + 8 = 3

a₁ = -8

Therefore:

`a_n =-8+3(n-1)\\\\a_n =-8+3n-3\\\\a_n =3n-11`