Matematika

Pertanyaan

f(×+1) = f (×) +2× +2 dan f( 1 ) = 1
tentukan nilai dari f( 4 )
a. 11
b. 13
c. 16
e. 20


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1 Jawaban

  • f(x+1) = f(x) + 2x + 2

    x = 1
    f(1+1)= f(1) + 2(1) + 2
    f(2) = 1 + 2 + 2
    f(2) = 5

    x= 2
    f(2+1) = f(2) + 2(2) + 2
    f(3) = f(2) + 6
    f(3) = 5 + 6
    f(3) = 11

    x = 3
    f(3+1) = f(3) +2(3) + 2
    f(4) = 11 + 6+ 2
    f(4) = 19

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