Deret arit S4=17 dan S8=58, U1
Matematika
Aldahtb
Pertanyaan
Deret arit S4=17 dan S8=58, U1
2 Jawaban
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1. Jawaban Irbah13
s4 = 17
sn = n/2 (2a + (n-1) b)
s4 = 2(2a + 3b)
17 = 4a + 6b
s8 = 58
s8 = 4 ( 2a + 7b)
58 = 8a + 28b
4a + 6b = 17. (×2)
8a + 28b = 58. (×1)
8a + 12b = 34
8a + 28b = 58. (kurangkan)
-16b = -24
b = 24/16
b = 3/2
4a + 6b = 17
4a + 6(3/2) = 17
4a + 9 = 17
4a = 8
a = 2 -
2. Jawaban seminerd
S4 = 17
4/2 (2a + (4-1)b) = 17
2 (2a + 3b) = 17
4a + 6b = 17
S8 = 58
8/2 (2a + (8-1)b) = 58
4 (2a + 7b) = 58
2 (2a + 7b) = 29
4a + 14b = 29
eliminasi
4a + 14b = 29
4a + 6b = 17
→ 8b = 12
b = 3/2
4a + 6b = 17
4a + 6(3/2) = 17
4a + 9 = 17
4a = 8
a = 2
semoga bermanfaat