U4+U6=10 jika rasio 1/2 maka U8 adalah
Matematika
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Pertanyaan
U4+U6=10 jika rasio 1/2 maka U8 adalah
1 Jawaban
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1. Jawaban nurrafi77
U4 = a r³
= a (1/2)³
U6 = a r⁵
= a (1/2)⁵
= a (1/2)³ (1/2)²
U4 + U6 = 10
a (1/2)³ + a (1/2)³ (1/2)² = 10
a (1/2)³ (1 + 1/4) = 10
a (1/8) (5/4) = 10
a(1/8) = 10 x 4/5
a = 8 x 8
= 64
U8 = a r⁷
= 64 (1/2)⁷
= 64 (1/128)
= 0,5