Matematika

Pertanyaan

pada deret geometri, suku ke -2 = 9 dan suku ke -6 = 144, nilai suku ke -4 adalah...
a. 16
b. 18
c. 32
d. 36
tolong sertakan cara nya ya..

1 Jawaban

  • U6/U2 = ar^5/ar = 144/9
    r⁴ = 144/9
    r = √12/3
    ar = 9
    a(√12/3) = 9
    a²(12/3) = 9²
    a² = 81 × 3/12
    a² = 243/12
    a = √243/12
    U4 = ar³ = (√243/12)(√12/3)³
    = (√243/12)(12/3)(√12/3)
    = (12/3)(√243/12×12/3)
    = (12/3)(√243/3)
    = (12/3)(√81)
    = (12/3)(9)
    = 36

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