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..10. Deret Geo
U2 = 6 --> ar = 6
U4 = 24 --> ar³ = 24
.
u4 / u2 =24/6
ar³/ar = 4
r² = 4
r = 2 atau r = -2
Deret U4 > u2 --> r = 2
u10 = ar⁹ = (ar³)(r⁶) = 24 *2⁶ = 1.536
11, Misalkan kelima anak adalah
U1, u2, u3, u4 , u5
.
u4 = 8
u5 = 4
r = u5/u4 = 4/8 = 1/2
u4 = 8
a r³ = 8
a = 8/(r³) = 8 ./ (1/8) = 64
r = 1/2 < 0 --> sn = a(1-rⁿ) /(1- r)
s5 = 64 (1 - 1/2⁵) / (1 - 1/2)
s5 = 64 (1 - 1/32) / (1/2)
s5 = 2(64)( 31/32)
s5= 2(2)(31) = 124
nilai uang = 124 x 2.000 = 248.000