Matematika

Pertanyaan

8+11+14+...+(3n+5) = n/2 (3n+13)
dalam induksi matematika

1 Jawaban

  • 8+11+14+...+(3n+5) = n/2 (3n+13)
    * n = 1
    8 = 1/2 (3(1)+13)
    8 = 1/2 (16)
    8 = 8 (terbukti)
    * n = n
    8+11+14+...+(3n+5) = n/2 (3n+13)
    * n = n+1
    8+11+14+...+(3n+5)+(3(n+1)+5) = n+1/2 (3(n+1)+13)
    n/2(3n+13)+(3n+8) = n+1/2 (3n+16)
    3n kuadrat+13n+6n+16 = 3n kuadrat+16n+3n+16
    3n kuadrat+19n+16 = 3n kuadrat+19n+16 (terbukti)

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