Which number should come next at the end of this series: 1/12, 1/6, 1/3, 2/3?

Solution:

Given series 1/12, 1/6, 1/3, 2/3

Consider the first two terms, we can say that they are in geometric progression

When 1/12 is multiplied by 2, we get 1/6

Again when 1/6 is multiplied by 2, we get 1/3

Similarly, when 1/3 is multiplied by 2 we get 2/3

So, the next term must be multiplied by 2

Thus we see the constant ratio is 1/2

Hence, we get 4/3 next term.

Which number should come next at the end of this series: 1/12, 1/6, 1/3, 2/3?

Summary:

Number 4/3 should come next at the end of this series: 1/12, 1/6, 1/3, 2/3.