Diketahui U4 =26 dan U8 =34. Ditanya b? a? U100?
Matematika
gito23555
Pertanyaan
Diketahui U4 =26 dan U8 =34. Ditanya b? a? U100?
2 Jawaban
-
1. Jawaban Nik001
Un = bn + a - b
U4 = 4b + a - b
26 = 3b + a
Un = bn + a - b
U8 = 8b + a - b
34 = 7b + a
26 = 3b + a
34 = 7b + a
---------------- -
-8 = -4b
b = -8/-4
b = 2
26 = 3b + a
26 = 3(2) + a
26 = 6 + a
a = 26 - 6
a = 20
Un = bn + a - b
U100 = 2(100) + 20 - 2
= 200 + 18
= 218 -
2. Jawaban Vitruviuz
U4 = a + 3b = 26
U8 = a + 7b = 34
_____________
-4b = -8
b = 2
a + 3b = 26
a + 3(2) = 26
a + 6 = 26
a = 20
U100 = a + 99b
U100 = 20 + 99(2)
U100 = 20 + 198
U100 = 218
Semoga Membantu