Diketahui barisan aritmatika drngan U3=12 dan U9=36maka U10=....... beserta rumusnya
Matematika
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Pertanyaan
Diketahui barisan aritmatika drngan U3=12 dan U9=36maka U10=.......
beserta rumusnya
beserta rumusnya
1 Jawaban
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1. Jawaban WahidAbid
Rumus suku ke-n barisan aritmatika = Un = a + (n-1) b
U3 = a + (3-1) b => 12 = a + 2 b
U9 = a + (9-1) b => 36 = a + 8 b
___________-
-24 = -6 b
4 = b
=> a + 2 b = 12
=> a+ 2 (4) = 12
=> a + 8 = 12
=> a = 4
=> U10 = a + (10-1) b
=> U10 = 4 + (9) 4
=> U10 = 4 + 36
=> U10 = 40