Jawab:
Penjelasan dengan langkah-langkah:
Nomor 1 : C
5, 9, 13, 17, a, .....
Barisan aritmatika, dengan beda = 4
Nilai a = 17 + 4 = 21 (C)
Nomor 2 : A
3, 6, 9, ....
1 × 3 = 3
2 × 3 = 6
3 × 3 = 9
Pola ke-8 = 8 × 3 = 24 buah
Nomor 3 : C
2, 4, 7, 11, ......
11 + 5 = 16
16 + 6 = 22
Dua suku berikutnya = 16, 22
Nomor 4 : B
1, 3, 6, 10, .......
10 + 5 = 15
15 + 6 = 21
Dua suku berikutnya = 15, 21
Nomor 5 : B
2, 5, 9, ....., 20, 27, 35
Suku ke-4
= 9 + 5
= 14
Nomor 6 : A
24, 21, 18, .....
a = 24
b = 21 - 24 = -3
Uₙ = a + (n - 1)b = 24 + (n - 1)(-3)
U₇ = 24 + (7 - 1) (-3)
U₇ = 24 + 6. (-3)
U₇ = 24 - 18 = 6
Nomor 7 : C
2, 5, 8, 11, 14, ......
bertambah 3 setiap barisan menjadi :
17, 20, 23, 26, 29, 32, .....
Nomor 8 : C
Un = 4n² - 2
U₃ = 4. 3² - 2 = 4 . 9 - 2 = 36 - 2 = 34
U₂ = 4. 2² - 2 = 4 . 4 - 2 = 16 - 2 = 14
U₃ - U₂ = 34 - 14 = 20
Nomor 9 : B
5, 7, 9, 11
a = 5, b = 7 - 5 = 2
Uₙ = a + (n - 1)b = 5 + (n - 1)2 = 5 + 2n - 2 = 2n + 3
Nomor 10 : B
Un = 2 × 3ⁿ
U₁ = 2 × 3¹ = 6
U₂ = 2 × 3² = 18
U₃ = 2 × 3³ = 54
U₄ = 2 × 3⁴ = 162
Barisan Bilangan = 6, 18, 54, 162 (B)
Nomor 11 : A
-3, 2, 7, 12
a = -3
b = 2 - (-3) = 5
Un = a + (n - 1)b = -3 + (n - 1). 5 = -3 + 5n - 5 = 5n - 8 (A)
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Jawab:
Penjelasan dengan langkah-langkah:
Nomor 1 : C
5, 9, 13, 17, a, .....
Barisan aritmatika, dengan beda = 4
Nilai a = 17 + 4 = 21 (C)
Nomor 2 : A
3, 6, 9, ....
1 × 3 = 3
2 × 3 = 6
3 × 3 = 9
Pola ke-8 = 8 × 3 = 24 buah
Nomor 3 : C
2, 4, 7, 11, ......
11 + 5 = 16
16 + 6 = 22
Dua suku berikutnya = 16, 22
Nomor 4 : B
1, 3, 6, 10, .......
10 + 5 = 15
15 + 6 = 21
Dua suku berikutnya = 15, 21
Nomor 5 : B
2, 5, 9, ....., 20, 27, 35
Suku ke-4
= 9 + 5
= 14
Nomor 6 : A
24, 21, 18, .....
a = 24
b = 21 - 24 = -3
Uₙ = a + (n - 1)b = 24 + (n - 1)(-3)
U₇ = 24 + (7 - 1) (-3)
U₇ = 24 + 6. (-3)
U₇ = 24 - 18 = 6
Nomor 7 : C
2, 5, 8, 11, 14, ......
bertambah 3 setiap barisan menjadi :
17, 20, 23, 26, 29, 32, .....
Nomor 8 : C
Un = 4n² - 2
U₃ = 4. 3² - 2 = 4 . 9 - 2 = 36 - 2 = 34
U₂ = 4. 2² - 2 = 4 . 4 - 2 = 16 - 2 = 14
U₃ - U₂ = 34 - 14 = 20
Nomor 9 : B
5, 7, 9, 11
a = 5, b = 7 - 5 = 2
Uₙ = a + (n - 1)b = 5 + (n - 1)2 = 5 + 2n - 2 = 2n + 3
Nomor 10 : B
Un = 2 × 3ⁿ
U₁ = 2 × 3¹ = 6
U₂ = 2 × 3² = 18
U₃ = 2 × 3³ = 54
U₄ = 2 × 3⁴ = 162
Barisan Bilangan = 6, 18, 54, 162 (B)
Nomor 11 : A
-3, 2, 7, 12
a = -3
b = 2 - (-3) = 5
Un = a + (n - 1)b = -3 + (n - 1). 5 = -3 + 5n - 5 = 5n - 8 (A)