Question

2 3 6 12 28 72? ……….::

Answer 1

72+28=100

100+72=172

172+100=272

272+172=444 и т. д.

Answer 2

To find the next number in the sequence 2, 3, 6, 12, 28, 72, we need to identify the pattern or rule that governs the sequence.

Let's look at the differences between consecutive terms:

3 - 2 = 1 6 - 3 = 3 12 - 6 = 6 28 - 12 = 16 72 - 28 = 44

The differences between consecutive terms are not constant. However, if we look at the differences between the differences (the second differences), we might find a pattern:

3 - 1 = 2 6 - 3 = 3 12 - 6 = 6 28 - 12 = 16 44 - 28 = 16

Now, the second differences are all equal to 16. This suggests that the sequence might be governed by a quadratic equation.

To find the next term in the sequence, we can continue this pattern:

44 + 16 = 60

So, the next term in the sequence is 72 + 60 = 132.

The sequence continues as follows: 2, 3, 6, 12, 28, 72, 132, ...

Each term is obtained by adding the next consecutive second difference to the previous term.