Find the next number in the given series 2,5,13, ? radio_button_unchecked 19 radio_button_unchecked 29 radio_button_unchecked 16 radio_button_unchecked 23

To find the next number in the series, we need to identify the pattern.

The series is: 2, 5, 13, ?

If we look closely, we can see that each number is obtained by multiplying the position of the number in the series by 2 and then subtracting 1.

For the first number: (12) - 1 = 1 For the second number: (22) - 1 = 3 For the third number: (3*2) - 1 = 5

However, this pattern doesn't seem to fit the given series. Let's try another pattern.

If we look at the differences between the numbers:

5 - 2 = 3 13 - 5 = 8

We can see that the differences are increasing by multiples of 2 + 1.

So, if we apply this pattern to find the next difference:

8 + 3 = 11

And add this difference to the last number in the series:

13 + 11 = 24

So, the next number in the series should be 24. However, this option is not given in the choices.

Let's try another pattern.

If we look at the series, we can see that each number could be one more than a power of 2:

2 is 2^1 + 1 5 is 2^2 + 1 13 is 2^3 + 1

So, if we apply this pattern to find the next number:

The next number should be 2^4 + 1 = 16 + 1 = 17

However, this option is also not given in the choices.

Given the options, none of the patterns we've tried fit the series. There might be a mistake in the question or the options.