Question

Nilai p=1/3+1/9+1/27+1/81+⋯

Answer 1

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

Answer 2

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