Matematika

Pertanyaan

tentukan jumlah barisan aritmetika dai 4+9+14+19+.......+104

2 Jawaban

  • b=9-4=5
    un=a+(n-1)b
    104=4+(n-1)5
    104-4=5n-5
    100+5=5n
    105=5n
    n=21
    sn =n/2(a+ un)
    s25=21/2(4+104)
    s25=21/2(108)
    s25=1134
  • [tex]a = 4 \\ b = 9 - 4 = 5 \\ Un = 104 \\ a + (n - 1)b = 104 \\ 4 + 5(n - 1) = 104 \\ 5(n - 1) = 100 \\ n = 21 \\ S_{21} = \frac{21}{2}(2(4) + 20(5)) \\ = \frac{21}{2} (108) \\ = 1134[/tex]

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