Matematika

Pertanyaan

Tolong di jawab, besok senin di kumpulin.
1. Hitunglah Sn dari deret geometri berikut
a.1/16+1/4+1+... (n=8)
b.20+10+5+... (n=10)

1 Jawaban

  • a. Sn = U1 (rⁿ - 1)/r-1
    S8 = 1/16 (4^8 - 1)/4-1
    = 1/16 (65.536 - 1)/3
    = 1/16 x 65.535 / 3
    = 65.535/16 /3
    = 65.535/16 x 1/3
    = 65.535/48
    = 1365 15/48
    = 1365 5/16

    b. Sn = U1 (rⁿ - 1)/r-1
    S10 = 20 ((½)^10 - 1)/ 1/2 - 1
    = 20 (1/1.024 - 1)/ -½
    = 20 (-1.023/1.024) / -½
    = -20.460/1.024 / -½
    = 20.460/1.024 / ½
    = 20.460/1.024 x 2/1
    = 40.920/1.024
    = 39 984/1024
    = 39 123/128

    maaf kalo salah

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