Replace the incorrect term by the correct term in the given sequence 3, 2, 7, 4, 13, 10, 21, 18, 31, 28, 43,…

Replace the incorrect term by the correct term in the given sequence 3, 2, 7, 4, 13, 10, 21, 18, 31, 28, 43, 40 where odd terms and even terms follow the same pattern.
  1. 0
  2. 1
  3. 3
  4. 6

Solution

Separating into odd-position and even-position terms: Odd series: 3, 7, 13, 21, 31, 43 with increments +4, +6, +8, +10, +12. Even series should be: 0, 4, 10, 18, 28, 40 with the same increments +4, +6, +8, +10, +12. The given even series starts with 2, which is incorrect; it should be 0. Hence the answer is 0.

Asked in: CSAT 2021

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