Matematika

Pertanyaan

Diketahui barisan aritmatika drngan U3=12 dan U9=36maka U10=.......
beserta rumusnya

1 Jawaban

  • 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

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