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20 August, 22:35

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

-4, - 1, 2

Find the next two terms of this sequence.

+1
Answers (1)
  1. 21 August, 00:31
    0
    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
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