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7 January, 21:16

What is the explicit formula for the sequence 7,2,-3,-8,-13

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Answers (2)
  1. 7 January, 21:44
    0
    You could say that a (n) = 12 - 5n.

    Then ...

    a (1) = 12 - 5 = 7

    a (2) = 12 - 10 = 2

    a (3) = 12 - 15 = - 3

    and so on.

    So it seems to work.
  2. 7 January, 23:29
    0
    7, 2, - 3, - 8, - 13

    -5 - 5 - 5 - 5

    a (n) = a₁ + d (n - 1)

    a (n) = 7 - 5 (n - 1)

    a (n) = 7 - 5 (n) + 5 (1)

    a (n) = 7 - 5n + 5

    a (n) = - 5n + 7 + 5

    a (n) = - 5n + 12
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