Matematika

Pertanyaan

tentukan sigma nilai atas 4 k=1 (2k² + 1) - sigma nilai atas 1 k=-2 (k² + 1)



tolong ya #butuhcepat

1 Jawaban

  • sigma

     { ₁⁴∑ 2k²  +1}  -  {₋₂¹∑ k² + 1} = p - q

    p = ₁⁴∑ 2k² + 1

    k =1 --> 2(1)² + 1 = 3
    k= 2 --> 2(2)² +1  = 9
    k = 3 --> 2(3²) + 1 = 19
    k =4 --> 2(4²) + 1= 33
    p = 3 +9+19+ 33 = 64

    q = ₋₂¹∑(k² +1)
    k = -2 --> (-2)² + 1 = 5
    k = -1 --> (-1)² + 1= 2
    k = 0 --> (0)² + 1 = 1
    k = 1 --> (1)² +1 = 2
    q = 5 +2 +1 + 2 =10

    p - q = 64  -10
    p - q = 54

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