The first term of a sequence is -12. The recursive formula for the sequence is an = an-1 + 9. What are the next 3 terms in the sequence?

Answer 1

Answer 2

Maybe this will help:

You are given a₁ (the first term) is -12

To find the next term (a₂), take the previous term (a₁ which is -12) and add 9 so:

a₂ = a₁ + 9

a₂ = -12 + 9

a₂ = -3

To find the next term (a₃), take the previous term (a₂ which is -3) and add 9 so:

a₃ = a₂ + 9

a₃ = -3 + 9

a₃ = 6

To find the next term (a₄), take the previous term (a₃ which is 6) and add 9 so:

a₄ = a₃ + 9

a₄ = 6 + 9

a₄ = 15

So the sequence looks like this:

-12, -3, 6, 15, . . .

Answer 3

Given:

a₀ = -12

a_n = a_n-1 + 9

a₁ = a₀ + 9 = -12 + 9 = -3

a₂ = a₁ + 9 = -3 + 9 = 6

a₃ = a₂ + 9 = 6 + 9 = 15