Question

1/3+1/9+1/27+1/81...=

Answer 1

1/3 + 1/9 + 1/27 + 1/81 + ...
membentuk bariasan geometri tak hingga dengan a =1 /3 dan r = 1/9 : 1/3 = 1/3
Maka

1/3 + 1/9 + 1/27 + 1/81 + ...
= a / 1-r
= 1/3  / (1-1/3)
= 1/3 / 2/3
= 1/3 x 3/2
= 1/2

Semoga membantu... ^_^

Answer 2

Misal p = 1/3 +1/9+1/27+1/81 + .........
 
p=1/3 +1/9+1/27+1/81 + .........
p= 1/3 + 1/3 (1/3 +1/9+1/27+1/81 + .........)
p=1/3 +1/3p
p-1/3p =1/3
2/3 p = 1/3
p =1/3 : 2/3
p=1/3 . 3/2
p=1/2