jalan tentukan nilai P jika P =1/3+1/9+1/27+1/81+...
Matematika
farhangumilar83
Pertanyaan
jalan tentukan nilai P jika P =1/3+1/9+1/27+1/81+...
1 Jawaban
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1. Jawaban acim
P = /3 + 1/9 + 1/27 + 1/81 + ...
P = 1/3 + 1/3(1/3 + 1/9 + 1/27 + ...)
P = 1/3 + 1/3 P
P - 1/3 P = 1/3
(1 - 1/3) P = 1/3
(2/3) P = 1/3
P = (1/3)/(2/3)
P = 1/3 * 3/2
P = 1/2