Matematika

Pertanyaan

hasil dari 9+27+81+.....+2187

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  • 9+27+81+.....+2187 = ....
    a = 9
    r = 27/9
    r = 3
    Un = arⁿ-¹
    2187 = 9 x 3ⁿ-¹
    3ⁿ-¹ = 2187/9 = 243
    3ⁿ-¹ = 3^5
    n = 5+1
    n = 6

    S6 = 9 x (3^6 -1)/(3-1) = 9/2 x (729-1)
    = 9 x 728/2
    = 9 x 364
    = (10-1) x 364
    = 3.640 - 364
    = 3.276

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