jika f(n)=f(n-1)+n+1 dan f(-2)=1 tentukan nilai F(4)
Matematika
sudadimenthek
Pertanyaan
jika f(n)=f(n-1)+n+1 dan f(-2)=1 tentukan nilai F(4)
1 Jawaban
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1. Jawaban gatutguntoro221
f(n) = f(n-1)+n+1
f(-2) = 1
f(-2) = f(-2-1)+(-2)+1=1
f(-2) = f(-3)-1=1
f(-3) = 2
f(-1) = f(-1-1) + (-1) + 1
f(-1) = f(-2)
= 1
f(0) = f(0-1)+0+1
= f(-1)+1
= 1+1
= 2
f(1) = f(1-1)+1+1
= f(0)+2
= 2+2
= 4
f(2) = f(2-1)+2+1
= f(1) +3
= 4+3
= 7
f(3) = f(3-1) + 3 + 1
= f(2) + 4
= 7+4
= 11
f(4) = f(4-1)+4+1
= f(3) + 5
= 11 + 5
= 16