The first three terms of an arithmetic sequence are as follows.

-4, - 1, 2

Find the next two terms of this sequence.

The next two terms and 5 and 8.

Step-by-step explanation:

Find the recursive formula (tₙ = tₙ₋₁ + d) of - 4, - 1, 2.

Arithmetic sequences have a common difference, "d", between terms.

To find the common difference, subtract a term value from the term value after it.

-1 - - 4 = 3

2 - - 1 = 3

The common difference is 3.

To find the next term, add 3 to the previous term.

The recursive formula is tₙ = tₙ₋₁ + 3

tₙ = tₙ₋₁ + 3

t₄ = t₃ + 3

t₄ = 2 + 3

t₄ = 5

tₙ = tₙ₋₁ + 3

t₅ = t₄ + 3

t₅ = 5 + 3

t₅ = 8