Tolong dikerjakan secepatnya
Matematika
mariana131
Pertanyaan
Tolong dikerjakan secepatnya
1 Jawaban
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1. Jawaban jpallo
8) U₁ = a = -14 ; b = 5 ; Un = 76 ; n = ?
Un = a + (n - 1) x b
76 = -14 + (n - 1) x 5
76 = -14 + 5n - 5
76 = -19 + 5n
95 = 5n
n = 19
Jadi banyak suku = 19
9) 9, 16, 23, 30, ...
U₁ = a = 9
b = 16 - 9
= 7
Un = a + (n - 1) x b
121 = 9 + (n - 1) x 7
121 = 9 + 7n - 7
121 = 2 + 7n
119 = 7n
n = 17
Jadi 121 adalah suku ke 17
10) U₈ = 52 = a + (n - 1) x b
52 = a + (8 - 1) x 8
52 = a + 56
a = -4
U₁₄ = a + (n - 1) x b
= -4 + (14 - 1) x 8
= -4 + 13 x 8
= -4 + 104
= 100
Jadi suku ke 14 = 100
11a) 6, 12, 18, ...
U₁ = a = 6
b = 12 - 6
= 6
U₅₆ = 6 + (56 - 1) x 6
= 6 + 55 x 6
= 6 + 330
= 336
Jadi bilangan asli kelipatan 6 yang ke 56 = 336
b) 9, 18, 27, ...
U₁ = a = 9
b = 18 - 9
= 9
U₄₅ = 9 + (45 - 1) x 9
= 9 + 44 x 9
= 9 + 396
= 405
Jadi bilangan asli kelipatan 9 yang ke 45 = 405
12) U₆ = -9 = a + 5b
U₅ = -6 = a + 4b
----------------- -
-3 = b
U₅ = a + 4b
-6 = a + 4 x (-3)
-6 = a - 12
a = 6
U₁₀ = a + 9b
= 6 + 9 (-3)
= 6 - 27
= -21
Jadi suku ke 10 = -21
13) U₁ = a = 5
U₆ = a + 5b
55 = 5 + 5b
50 = 5b
b = 10
U₁₆ = a + 15b
= 5 + 15 (10)
= 5 + 150
= 155
Jadi suku ke 16 = 155
semoga jelas dan membantu ya