Question

What is the next number of series 5,6,14,41,?

Answer 1

Answer:

105

Step-by-step explanation:

5, 6, 14, 41

The differences are as follows :

6 - 5 = 1

14 - 6 = 8

41 - 14 = 27

Looking at these differences we see that they are cubes of certain numbers.

We have :

1 = 1³

8 = 2³

27 = 3³

The next difference must be the cube of the next number after 3 which is 4.

The difference is hence :

4³ = 64

We therefore add 64 to 41.

The next number in the series is given as :

64 + 41 = 105

The pattern becomes :

5, 6, 14, 41, 105