Matematika

Pertanyaan

diketahui tiga suku pertama barisan aritmatika adalah(2x+1),(x+2)dan(2x-3). suku ke 15 barisan tersebut adalah???

1 Jawaban



  • B = b
    U2 - U1 = U3 - U2
    x + 2 - (2x + 1) = 2x - 3 - (x + 2)
    x + 2 - 2x - 1 = 2x - 3 - x - 2
    -x + 1 = x - 5
    1 + 5 = x + x
    6 = 2x
    x = 6 : 2
    x = 3

    U1:
    2x + 1 = 2 × 3 + 1
    2x + 1 = 6 + 1
    2x + 1 = 7

    U2:
    x + 2 = 3 + 2
    x + 2 = 5

    U3:
    2x - 3 = 2 × 3 - 3
    2x - 3 = 6 - 3
    2x - 3 = 3

    b = U2 - U1
    b = 5 - 7
    b = -2

    U15 = a + (n - 1) . b
    U15 = 7 + (15 - 1) . (-2)
    U15 = 7 + 14 . (-2)
    U15 = 7 - 28
    U15 = -21

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