Find the next number in the given series.5, 8, 12, 18, 24, ________Options30401796035

The given series is: 5, 8, 12, 18, 24

To find the pattern, let's look at the differences between consecutive numbers:

8 - 5 = 3 12 - 8 = 4 18 - 12 = 6 24 - 18 = 6

The differences do not form a consistent pattern. However, if we look at the differences of the differences, we get:

4 - 3 = 1 6 - 4 = 2 6 - 6 = 0

This still does not form a consistent pattern.

Let's try another approach. If we multiply the position of each number in the series by 3, we get:

13 = 3 23 = 6 33 = 9 43 = 12 5*3 = 15

If we add 2 to each of these results, we get the original series:

3 + 2 = 5 6 + 2 = 8 9 + 2 = 12 12 + 2 = 18 15 + 2 = 24

So, the pattern is that each number in the series is 3 times its position in the series, plus 2.

To find the next number in the series, we multiply the position of the next number (6) by 3 and add 2:

6*3 + 2 = 20

So, the next number in the series is 20. However, this option is not given in the options. There seems to be a mistake in the question or the options provided.