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16 May, 18:35

What is the common difference of an arithmetic sequence defined by the formula an=2n-4?

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Answers (2)
  1. 16 May, 18:42
    0
    d = 2

    Step-by-step explanation:

    Generate the first few terms

    a₁ = (2 * 1) - 4 = 2 - 4 = - 2

    a₂ = (2 * 2) - 4 = 4 - 4 = 0

    a₃ = (2 * 3) - 4 = 6 - 4 = 2

    a₄ = (2 * 4) - 4 = 8 - 4 = 4

    d = 0 - ( - 2) = 2 - 0 = 4 - 2 = 2
  2. 16 May, 19:05
    0
    Common difference = 2.

    Step-by-step explanation:

    The general formula for an arithmetic sequence is

    an = a1 + d (n-1) where d = the common difference. This can be rearranged to:

    an = dn - d + a1

    So comparing:

    an = 2n - 4 with the above we see that d = 2.
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