7, 14, 55, 110, ?

2023

7, 14, 55, 110, ?

  1. A.

    140

  2. B.

    155

  3. C.

    121

  4. D.

    1255

Attempted by 100 students.

Show answer & explanation

Correct answer: C

Key insight: the sequence is built from pairs where each even-position term is double the previous odd-position term.

  • Check the pairs: 14 = 7 × 2, and 110 = 55 × 2. So the sequence can be grouped as (7, 14), (55, 110), …

  • Each pair has the form (x, 2x). Therefore the missing term is the first element of the next pair.

  • A natural continuation for the first elements is 7, 55, 121. Choosing 121 gives the next pair (121, 242), and 121 is one of the answer choices.

Answer: 121

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