Matematika

Pertanyaan

geometri:
U2 = 6, U5 = 162
Tentukan U4 dan S3 ?

2 Jawaban

  • U2 = ar
    6 = ar .... prsmaan 1
    U5 = [tex]a r^{4} [/tex]
    162 = [tex]a r^{4} [/tex] .....prsmaan 2

    persamaan 2 bagi prsamaan 1 
    162 = [tex]a r^{4} [/tex] .....prsmaan 2 
    6 = ar .... prsmaan 1 

    27 = [tex] r^{3} [/tex] 
    r = 3

    U2 = 6
    ar = 6
    a x 3 = 6
    a = 2

    U4 = ar[tex] ^{3} [/tex] = 2 x 3[tex] ^{3} [/tex] = 54





  • r = Un/Un-1
    = U5/U2     l  a.r^4/a.r^1    l 162/6
    = r^3 = 27
    = r = ∛27
    = r = 3

    U2= a.r^n-1
    6 = a.3^1
    6 = 3a
    a = 2

    U4 = a.r^n-1
    = 2.3^3
    = 54

    S3 = a((r^n) - 1) / r-1
    = 2((3^2) - 1) / 2
    = 8

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