Given following sequence, find the next term in the series: 0, 2, 4, 6, 8, 12,…

When a numeric series does not follow one consistent pattern across every consecutive term, check whether it is really two independent series interleaved together — separate the terms that fall in odd positions from the terms that fall in even positions, and study each of those two shorter series on its own.

Applying this to the given series:

1. Splitting the series 0, 2, 4, 6, 8, 12, 12, 20, 16, ____ by position gives two shorter series — the terms at positions 1, 3, 5, 7, 9 form one series, and the terms at positions 2, 4, 6, 8, 10 form the other.

2. The first series (positions 1, 3, 5, 7, 9) is 0, 4, 8, 12, 16 — each term is exactly 4 more than the one before it, a plain arithmetic progression.

3. The second series (positions 2, 4, 6, 8, ____) is 2, 6, 12, 20, ____ . Its consecutive differences are 6 − 2 = 4, 12 − 6 = 6, and 20 − 12 = 8 — so the difference itself increases by 2 at every step.

4. Continuing that same growth, the next difference after 8 is 8 + 2 = 10.

5. Adding this to the last known term of the second series: 20 + 10 = 30.

Placing 30 back into the full series — 0, 2, 4, 6, 8, 12, 12, 20, 16, 30 — keeps both interleaved patterns intact: the first series still rises by a constant 4, and the second series' differences still grow by 2 at every step (4, 6, 8, 10).

So, the missing term is 30.