Matematika

Pertanyaan

Diketahui barisan aritmetika s4=,15Dan s12=47 tentukan:

A.s1 Dan beda
B.rumus suku1 me-n,Dan
C.s1,s2,s3,s4,s5

1 Jawaban

  • S4 = a + 3b = 15
    S12 = a + 11b = 47
    -------------------------- (-)
    8b = 32
    b = 32/8
    b = 4

    a + 3b = 15
    a + 3(4) = 15
    a + 12 = 15
    a = 15 - 12
    a = 3

    Un = a + (n - 1)b
    Un = 3 + (n - 1)4
    Un = 3 + 4n - 4
    Un = 4n - 1

    S2 = 2/2 ( 2a + b )
    S2 = (2(3) + 4 )
    S2 = 6 + 4
    S2 = 10

    S3 = 3/2 ( 2a + 2b )
    S3 = 3/2 . 2 ( 3 + 4)
    S3 = 3 (7)
    S3 = 21

    Sn = n/2 ( 2a + (n - 1)b)
    Sn = n/2 ( 2(3) + 4n - 4)
    Sn = n/2 ( 4n + 2 )
    Sn = n/2 . 2(2n + 1)
    Sn = n ( 2n + 1)

Pertanyaan Lainnya