Multiple choice

What is the missing term (?) in the following series? $2,6,6,5,10,4,14,3,18,?$

  1. $1$
  2. $2$
  3. $19$
  4. $22$
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

The series is 2, 6, 6, 5, 10, 4, 14, 3, 18, ?. This is two interleaved series. Series 1: 2, 6, 10, 14, 18 (add 4). Series 2: 6, 5, 4, 3, ? (subtract 1). The next term is 3 - 1 = 2.

AI explanation

We split the series into two alternating subseries to find the underlying logic. The first subseries formed by the terms at odd positions is 2, 6, 10, 14, 18, which increases by 4 each time. The second subseries formed by the terms at even positions is 6, 5, 4, 3, which decreases by 1 each time, so the next term is 3 minus 1, giving the result 2.

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