Question

find the next three sequence 1/3,-2/3,4/3,-8/3

Answer 1

Try looking at just the numerators and see if you can see a pattern there first.

Answer 2

You will notice that the denominator remains the same which is 3. The numerator for the next sequence doubles and the sign (+ or -) alternates. Therefore, the next three in the sequence are:

16/3, -32/3, 64/3