1. √12 = √3x4=√3 √4 = 2√3
2. √18= √2x9=3√2
Barisan dan Deret
Un = a + (n-1) b
keterangan :
a = suku pertama
n = suku ke-n
b = beda
contoh
7, 11, 15, 19, .... 87, n ?
jawab : Un = a + (n-1) b
87 = 7 + (n-1) 4
80 + 4 = 4n
21 = n
Deret Aritmatika
Deret Aritmatika
Sn = n/2
(a+Un)
contoh
2
+ 5 + 8 + ..... + 242
N
= ... ?
Un = a + (n-1) b S81
= 81/2 (2+242)
242 = 2 + (n-1) 3 =
81 . 122
240
+ 3 = 3n =
9882
81 =
n
Barisan Geometri
Un
= a.r^(n-1)
contoh
U2 = 5 , U4 = 20 . U7 = ?
U2
= a.r = 5
U4
= a.r^3 = 20
U4/U2 =
(a.r^3)/(a.r)= 20/5
r^(2 )
= 4
r^ = 2
Rumus tak terhingga
S~
= a/(1-r)