What is next in this series? 1, 4, 10, 19, 31, _

Solution:

Given series 1, 4, 10, 19, 31, _

The difference between the first two terms is 3

The difference between the next two terms is 6

The difference between the next two terms is 9

Hence, we can say that the difference is in arithmetic progression with common difference 3

Hence, the next term should be added to 15

31 + 15 = 46

The next term is 46.

What is next in this series? 1, 4, 10, 19, 31, _

Summary:

The next in the series 1,4,10,19,31 is 46.