Matematika

Pertanyaan

diketahui barisan bilangan 3,7,11,15 jika Sn = 528 maka n =

2 Jawaban

  • a=3, b=n2-n1=4

    Sn=[tex] \frac{1}{2} [/tex] n {2a+(n-1)b}
    528=[tex] \frac{1}{2} [/tex] n {2.3+(n-1)4}
    528=3n+2n-2
    528=5n-2
    528+2=5n
    530=5n
    n=[tex] \frac{530}{5} [/tex]
    n=106
  • Sn = 1/2n  [2(a) + (n-1)b]
    528= 1/2 n [2(3) + (n-1)4]
    528= n/2 (6 + 4n - 4)
    528= n/2 (2 + 4n)
    528= n + 2n^2
    2n^2 + n - 528 = 0

     

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