Layered Doubling Balance: Discovering Hidden Harmony in Number Sequences

Heres a fun maths trick to try that I came up with, which you can try with friends or on yourself in some spare time.

The idea

You start with 2, 3, and 4.

2 + 2 = 4
3 + 3 = 6
4 + 4 = 8

Then you combine them, which
4 + 6 + 8 = 18 or 9 + 9

Then the final total is the first equal, which is 4, plus the next number in the sequence, which in this case is 5:

5 + 4 = 9

Another example:

5 + 5 = 10
6 + 6 = 12
7 + 7 = 14

10 + 12 + 14 = 36 or 18 + 18

10 + 8 = 18

And a final one:

8 + 8 = 16
9 + 9 = 18
10 + 10 = 20

16 + 18 + 20 = 54 or 27 + 27

16 + 11 = 27

So each time it's equal to the first equal, which here is 16, plus the next number in the list after 10, which is 11.

Conclusion

So tell me what you think. Will you try it, expand on it or try it with even bigger numbers?