Matematika

Pertanyaan

jika f(x)= f(x-1)+¼ dan f(1)=4 maka f(201)=

1 Jawaban

  • f(1) = f(1-1)+¼
    4 = f(0) + ¼
    f(0) = 3¾
    f(1) = 4

    Misal : f(x) = ax+b
    f(0) = a.0+b
    3¾ = b

    f(x) = ax + 3¾
    f(1) = a +3¾
    4 = a + 3¾
    a = ¼

    f(x) = ¼x + 3¾
    f(201) = ¼.201 + 3¾
    = 201/4 + 15/4
    = 216/4
    = 54

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