Question

Tentukan nilai p= 1/3+1/9+1/27+1/81+....
contohnya =
ini huruf x ya
x=1/2+1/4+1/8+1/16+1/32+...
x=1/2 (1+1/2+1/4+1/8+1/16+...)
x=1/2(1+ x)
x=1/2+1/2 x
x-1/2 x =1/2
1/2 x =1/2
x=1/2 : 1/2 =1

Answer 1

P= 1/3 + 1/9 + 1/27 + 1/81 + 1/243 + .......
1/3p=(1/3 + 1/9 + 1/27 + 1/81 + ......)/3
= 1/9 + 1/27 + 1/81 + 1/243 + ....

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