Matematika

Pertanyaan

tolong yah !!pakai cara
tolong yah !!pakai cara

1 Jawaban

  • pembuktian dgn cara deret aritmatika
    a= 5
    b = 4
    Un = 4n+1

    Sn = 1/2n (a+Un)
         = 1/2 n (5+4n+1)
         = 1/2n (4n+6)
         = n (2n+3)... sesuai

    jika n = k
         Uk = 4k+1  --> Sk = k(2k+3)
        
          n = k+1 ---> S(k+1) = (k+1)(2(k+1)+3)
                                          = (k+1)(2k+2+3)
                                          = (k+1)(2k+5)
                                          = 2k²+5k+2k+5
                                          = 2k²+7k+5