tentukan n jika (n+2)!/(n+1)!=12 dan (n-1)!/(n-3)!=20 tolong di bantu yah!
Matematika
rika1201
Pertanyaan
tentukan n jika (n+2)!/(n+1)!=12 dan (n-1)!/(n-3)!=20
tolong di bantu yah!
tolong di bantu yah!
1 Jawaban
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1. Jawaban nasril8
(n+2)/(n+1)! = 12
(n+2)(n+1)!/(n+1)! = 12
n + 2 = 12
n = 12 - 2 = 10
(n-1)!/(n-3)! = 20
(n-1)(n-2)(n-3)!/(n-3)! = 20
n^2 - 3n + 2 = 20
n^2 - 3n + 2 - 20 = 0
n^2 - 3n - 18 = 0
(n+3)(n-6) = 0
n = -3 atau n = 6
n = -3 tidak dipakai karena n ยป 0
Jadi n = 6