nilai p=1/3+1/9+1/27+1/81+⋯
Matematika
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Pertanyaan
nilai p=1/3+1/9+1/27+1/81+⋯
2 Jawaban
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1. Jawaban Yusrin091
p = 1/3 + 1/9 + 1/27 + 1/81 + ...
p = 1/3 ( 1 + 1/3 + 1/9 + 1/27 + 1/81 + ...)
p = 1/3 ( 1 + (1/3 + 1/9 + 1/27 + 1/81 + ...))
p = 1/3 ( 1 + p)
3p = 1 + p
2p = 1
p = 1/2 -
2. Jawaban tantikris43
P = 1/3 + 1/9 + 1/27 + 1/81 + ... p = 1/3 + 1/3( 1/3 + 1/8 + 1/27 +1/81+ ...) p = 1/3 + 1/3 p p-1/3 = 1/3 3/3p -1/3p = 1/3 2/3p = 1/3 6p = 3 p = 3/6 = 1/2