Matematika

Pertanyaan

tolong jawab(7&8) yaa beserta carany...
makasih..
tolong jawab(7&8) yaa beserta carany... makasih..

1 Jawaban

  • No.7
    U2 = 8, U5 = 64

    Rumusnyaa: un = a.r^n-1 (^ = pangkat)

    U2 = a.r^1 = a.r = 8
    U5 = a.r^4 = a.r^4 =64

    U5:U2 --> r^3 = 8 --> r= 2

    Subs r=2 ke u2
    a.r = 8
    a = 8:r = 8:2=4

    Suku k-13 = a.r^12 = 4.2^12 = 16384

    No.8

    Rumus: un= a.r^n-1

    (terbagi jd 6bag)
    Terpendek = 3cm --> a.r^0 = 3 --> a=3
    Terpanjang = 96cm --> a.r^5 = 96

    Subs a=3 ke a.r^5 =96
    3.r^5 = 96
    r^5 = 96:3 = 32
    Maka r=2

    S6 = a(1-r^6): (1-r)
    S6 = 3(1-2^6): (1-2)
    S6 = 3(1-64): (-1)
    S6 = 189

    Jadi, panjang tali semula adlh 189cm

    Sori kalo salah hehe thx