Question

1/6,1/9,2/27,4/81 geometric sequence next value?

Answer 1

The common ratio for this geometric sequence is 2/3. Every value is 2/3 the previous value.
So, to get the next value, we must multiply 4/81 * 2/3 = 8/243.

Answer 2

If you would like to know the next value, you can calculate this using the following steps:

1/6, 1/9, 2/27, 4/81, x = ?

1/9 / 1/6 = 1/9 * 6 = 6/9 = 2/3

So, if we would like to know what is the next value of this geometric sequence, you have to multiply 4/81 by 2/3:
4/81 * 2/3 = 8/243

The correct result would be 8/243.