# Find the next term in the sequence [closed]

What's the next term in the sequence?

$$12$$, $$28$$, $$36$$, $$84$$, $$88$$, $$168$$, $$\ldots$$

The possible choices are:

$$174$$, $$170{2\over3}$$, $$188$$, $$169{1\over3}$$, $$176$$

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– Stiv
Jul 22 at 21:32

$$176$$
The first term is $$12$$ (the first abundant number) and the next term is $$28$$ (the sum of the divisors of the first term). To get subsequent even-indexed terms, multiply the second term by successive triangular numbers ($$3, 6, ...$$). To get the following odd-indexed term, add the even-indexed term and its last digit. The seventh term is therefore $$168+8=176$$, the last option in your list of choices.