What comes next in this sequence

1/12, 1/6, 1/3, 2/3 ? (3/4, 4/3 or 3/2)


What should come next in this sequence

1, 2, 0, 3, -1 ? (5, 4 0r -3)

Here are a couple of hints:

For the first sequence, look at the ratio of one number to the next - each is twice as big as the one before.

For the second sequence, look at the difference between each number and the next. You will see that the differences form a pattern of +1 -2 +3 -4...

first one is a GP(geometric progression) having common ratio r=2 and first term a=1/12
and you want to find n=5th term of the series so just apply the formula for
5th term=ar^5-1 and you will get the answer, i.e. 4/3.