(P(n+1)3)=p(n,4)n=........?? Tolong jawaban nya bg,kak..
Matematika
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Pertanyaan
(P(n+1)3)=p(n,4)n=........??
Tolong jawaban nya bg,kak..
Tolong jawaban nya bg,kak..
1 Jawaban
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1. Jawaban Anonyme
jawab
(n+1) P 3 = nP 4 , syarat n ≥ 4
(n+1) ! / (n+1 - 3)! = n ! ./ (n-4)!
(n+ 1) ! / (n - 2) ! = n! /(n-4)!
(n+1)! / n ! = (n - 2)! /(n - 4)!
(n+1) n! / n ! = (n - 2)(n-3)(n-4)!.(n-4)!
(n +1) = (n-2)(n-3)
n + 1 = n² - 5n + 6
n² - 5n - n + 6 - 1 = 0
n² - 6n + 5 =0
(n -5)(n -1) = 0
n = 5 atau n = 1
syarat n ≥ 4, maka n = 5