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

-4, -1, 2
Find the next two terms of this sequence.

User SuitUp
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1 Answer

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Answer:

The next two terms and 5 and 8.

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

User Inbae Jeong
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