Question

1, 2, 5, 9, 16,.... what is the next?

Answer 1

Answer:

27

Step-by-step explanation:

2-1 = 1

5 - 2 = 3

9 - 5 = 4

16 - 9 = 7

from the above numbers we can guess that the difference between two numbers is sum of the previous differences except 1st and 2nd difference.

Hence,

next number = 16  + sum of previous two differences.

                      = 16 + (7+4) = 27