Barisan geometri adalah Barisan bilangan yang suku-suku berikutnya diperoleh dari hasil kali suku sebelumnya dengan bilangan tetap yang tidak sama dengan nol.
Bilangan tetap tersebut dinamakan pembanding (rasio)
Barisan Geometri.
Sifat-sifat.
r = U2 : U1 = U3 : U2 = … = Un : Un-1
r : Rasio
r : Rasio
Suku-suku.
a, ar, ar2, ar3, …
Suku ke-n.
Un = arn – 1
Un = Uk rn – k
Deret Geometri.
Jumlah n suku pertama.
Untuk r < 1:
Untuk r > 1:
Barisan Aritmatika dalah barisan bilangan yang suku berikutnya didapat dari penambahan suku sebelumnya dengan bilangan yang tetap (tertentu), bilangan yang tetap tersebut dinamakan beda (b)
Barisan Aritmatika.
Sifat-sifat.
b = U2 – U1 = U3 – U2 = … = Un – Un-1
keterangan:
b : beda
Un : suku ke-n
Suku-suku.
a, a+b, a + 2b, a + 3b, …
Suku ke-n.
Un = a + (n – 1)b
Un = Uk + (n – k)b
Deret Aritmatika.
Jumlah n Suku Pertama.
keterangan:
a : suku pertama
b : beda
n : suku
Un : suku ke-n
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