Matematika

Pertanyaan

Jika p (n)=(n+2)(n+3) per (n+1)(n+3) tentukanlah p=(n+1)

2 Jawaban

  • p(n)=(n+2)(n+3) per (n+1)(n+3)
    p(n+1)=(n+1+2)(n+1+3) per (n+1+1)(n+1+3)
    =(n+3)(n+4) per (n+2)(n+4)
  • [tex]p(n)=\frac{(n+2)(n+3)}{(n+1)(n+3)}\\p(n+1)=\frac{((n+1)+2)((n+1)+3)}{((n+1)+1)((n+3)+1)}\\p(n+1)=\frac{(n+3)(n+4)}{(n+2)(n+4)}[/tex]

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