Home Forums Math A sequence is defined by the recursive formula f (n + 1) = f(n) – 2. If f(1) = 18, what is f(5)?

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    A. 12
    B. 8
    C. 10
    D. 16

    #10822
    gargij
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      The correct answer is C : 10
      The given formula states that the next term in the sequence is generated by subtracting two(2) from the first one. We know that the first term is (18), therefore we have-

      f(1) = 18

      f(2) = f(1) – 2 = 18 – 2 = 16

      f(3) = f(2) – 2 = 16 – 2 = 14

      f(4) = f(3) – 2 = 14 – 2 = 12

      f(5) = f(4) – 2 = 12 – 2 = 10

      • This reply was modified 2 years, 11 months ago by gargij.
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