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24 December, 19:41

Write the following Arithmetic Sequence using a Recursive Formula: an = - 8 + 2 (n - 1)

a. a1 = 2, an = an+1 - 8

b. a1 = - 8, an = an+1 + 2

c. a1 = 2, an = an-1 - 8

d. a1 = - 8, an = an-1 + 2

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Answers (1)
  1. 24 December, 22:47
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    d) a1 = - 8, an = an-1 + 2

    Step-by-step explanation:

    The formule is:

    an = a1 + r * (n - 1)

    So:

    an = - 8 + 2 (n - 1)

    a1 + r * (n - 1) = - 8 + 2 (n - 1)

    ⇒ a1 = - 8 ∧ r = 2

    Finally:

    r = an - an-1

    an = 2 + an-1
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