jika diketahui barisan geometri dengan r= 1/4 dan U^8 = 1/1.024,maka U^4- 2U^5= a.1/2 b.1/4 c.1/6 d.1/8
Matematika
novaaryntt
Pertanyaan
jika diketahui barisan geometri dengan r= 1/4 dan U^8 = 1/1.024,maka U^4- 2U^5=
a.1/2
b.1/4
c.1/6
d.1/8
a.1/2
b.1/4
c.1/6
d.1/8
1 Jawaban
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1. Jawaban EkoBwi
U8 = ar^7
1/1024 = a x (¼)^7
1/(2^10) = a x ½^14
a = ½^10 ÷ ½^14
a = ½^(10-14) = ½-⁴
U4 - 2U^5
= (½-⁴ x ¼³) - 2(½-⁴ x ¼⁴)
= (4² x 4^-3) - 2(4² x 4^-4)
= ¼ - 2/16
= (4-2)/16
= ⅛