Matematika

Pertanyaan

Suatu barisan aritmatika diketahui U5=21 dan U10=41 maka tentukan besar U16!

2 Jawaban

  • Un = a + ( n - 1 ) b

    U5 = a + 4b = 21
    U10 = a + 9b = 41
    --------------------------(-)
    - 5b = - 20
    b = 4

    subtitusi
    a + 4b = 21
    a + 4(4) = 21
    a + 16 = 21
    a = 21 - 16
    a = 5

    U16 = a + 15b
    = 5 + 15(4)
    = 5 + 60
    = 65
  • U5=a+4b=21
    U10=a+9b=41
    -------------------- -
    -5b=-20
    b=-20/-5
    b=4

    a+4b=21
    a+4(4)=21
    a+16=21
    a=21-16
    a=5

    U16=a+(n-1)b
    =5+15x 4
    =5+60
    =65

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