Question

Tentukan 2 suku berikutnya dari barisan bilangan berikut berdasarkan pola bilangan berikut berdasarkan pola bilangan sebelumnya
a. 2,3,4,6,6,12,8,...,...
b. 3,7,11,18,...,....
c. 1,2,5,14,...,...
d.81,80,27,40,9,...,...
e. 1,3,4,9,9,27,16,...,...

tlong dijawab sesuai dgn soal

Answer 1

Verified answer

Kelas : IX (3 SMP)
Materi : Barisan dan Deret
Kata Kunci : pola, bilangan

Pembahasan : 
Mari kita lihat soal tersebut.
Tentukan 2 suku berikutnya dari barisan bilangan berikut berdasarkan pola bilangan sebelumnya 
a. 2, 3, 4, 6, 6, 12, 8, ..., ... 
b. 3, 7, 11, 18, ..., ... 
c. 1, 2, 5, 14, ..., ... 
d. 81, 80, 27, 40, 9, ..., ... 
e. 1, 3, 4, 9, 9, 27, 16, ..., ...

Jawab :
a. 2, 3, 4, 6, 6, 12, 8, 24, 10

U₁ = 2 → U₃ = 4 (2 + 2)
U₃ = 4 → U₅ = 6 (4 + 2)
U₅ = 6 → U₇ = 8 (6 + 2)
U₇ = 8 → U₉ = 10 (8 + 2)

U₂ = 3 → U₄ = 6 (3 x 2)
U₄ = 6 → U₆ = 12 (6 x 2)
U₆ = 12 → U₈ =  24 (12 x 2)

b. 3, 7, 11, 18, 19, 29

U₁ = 3 → U₃ = 11 (3 + 8)
U₃ = 11 → U₅ = 19 (11 + 8)

U₂ = 7 → U₄ = 18 (7 + 11)
U₄ = 18 → U₆ = 29 (18 + 11)

c. 1, 2, 5, 14, 41, 122

U₁ = 1 → U₂ = 2 (1 + 1 = 1 + 3⁰)
U₂ = 2 → U₃ = 5 (2 + 3 = 2 + 3¹)
U₃ = 5 → U₄ = 14 (5 + 9 = 5 + 3²)
U₄ = 14 → U₅ = 41 (14 + 27 = 14 + 3³)
U₅ = 41 → U₆ = 122 (41 + 81 = 41 + 3⁴)

d. 81, 80, 27, 40, 9, 20, 3

U₁ = 81 → U₃ = 27 (81 : 3)
U₃ = 27 → U₅ = 9 (27 : 3)
U₅ = 9 → U₇ = 3 (9 : 3)

U₂ = 80 → U₄ = 40 (80 : 2)
U₄ = 40 → U₆ = 20 (40 : 2)

e. 1, 3, 4, 9, 9, 27, 16, 81, 25

U₁ = 1² = 1
U₃ = 2² = 4
U₅ = 3² = 9
U₇ = 4² = 16
U₉ = 5² = 25

U₂ = 3 → U₄ = 9 (3 x 3)
U₄ = 9 → U₆ = 27 (9 x 3)
U₆ = 27 → U₈ = 81 (27 x 3)


Semangat!