Question

Tentukan nilai p = 1/3+1/9+1/27+1/18+....

Answer 1

Deret geo tak hingga
a = 1/3
r = (1/9) / (1/3)
= 1/3

S~ = a/(1 - r)
= (1/3) / (1 - (1/3))
= (1/3) / (2/3)
= 1/2

Answer 2

P = 1/3 + 1/9 + 1/27 +  1/81 + ......... (mudahan bener soalnya begini)
P = 1/3 * (1 + 1/3 + 1/9 + 1/27 + ..........)
P  = 1/3 * (1 + P)
3P = 1 + P
3P - P = 1
2P = 1
P = 1/2 = 0,5