3 4 7 13 14 17 23

24
25
26
27

What should the next number be, 3, 4, 7, 13, 14, 17, 23?

Step-by-step explanation:

As we see in the series

4–3=1

The difference between 3 and 4 is 1.

7–4=3

The difference between 7 and 4 is 3.

13–7=6

The difference between 13 and 7 is 6.

14–13=1

The difference between 14 and 13 is 1.

17–14=3

The difference between 17 and 14 is 3.

23–17=6

The difference between 23 and 17 is 6.

So the difference between the consecutive numbers is 1 then 3 and then 6 and again 1 then 3 and then 6 as we move forward in the series.

So it would repeat itself. To follow the same pattern in the series the difference between the next term and 23 is 1. let the next term is x

That implies x-23=1

That means x=24

So the answer is 24.

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