Question

Please help me find the next term!

Answer 1

Given geometric sequence: 1/2, 1/3, 2/9, 4/27

let the common ratio = r


`r = (1)/(3) / (1)/(2) =(1)/(3) * (2)/(1) = (2)/(3) \\`

Next number after 4/27 is:


`(4)/(27) * r = (4)/(27) * (2)/(3) = (8)/(81) \\`


`next \: number \: is \: \boxed{ (8)/(81) }`