Question

Continue the pattern 6, 9, 13, 20, 31,

Answer 1

Given:

The pattern - 6, 9, 13, 20, 31,

To find:

The next number in the pattern - 6, 9, 13, 20, 31,

Solution:

The pattern reflects a numerical order based on a certain rule.

The given pattern follows the series of adding the resultant number and subtracting 2 from it.

It can be noted as -

6+9 - 2 = 13

9+13 - 2 = 20

13+20 - 2 = 31

20+31 - 2 = 49

Thus, the next number in the series is 49

The complete pattern is 6, 9, 13, 20, 31, 49

Answer 2

If we look closely at the given numbers, we can see that the pattern seems to involve adding a certain value to each number.
If we take a closer look, we can see that the differences between the numbers are increasing. For example:
- 9 - 6 = 3
- 13 - 9 = 4
- 20 - 13 = 7
- 31 - 20 = 11

So, it looks like we're adding consecutive prime numbers to each previous number. Following this pattern, the next number would be 31 + 17 = 48.