jika U5=1/8 dan U3=½. Tentukan S17?
Matematika
Irvan2210
Pertanyaan
jika U5=1/8 dan U3=½. Tentukan S17?
1 Jawaban
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1. Jawaban PrinceFernandez
ar⁴ = 1/8
ar² = 1/2
subtitusi ar² ke ar⁴
ar⁴ = 1/8
ar².r² = 1/8
1/2.r² = 1/8
r² = 1/8.2
r² = 1/4
r = √1/4
r = 1/2
ar² = 1/2
a.(1/2)² = 1/2
1/4.a = 1/2
a = 1/2.4
a = 2
S17 = a(1-r^n)/1-r
= 2(1-(1/2)^17)/1-1/2
= 2(1-(1/131072)/1/2
= 2(131071/131072)/1/2
= 131071/65536/1/2
= 2.131071/65536/1
= 262142/65536