Choose the correct alternative that will continue the same pattern and replace…

2023

Choose the correct alternative that will continue the same pattern and replace the question mark (?) in the given number series. Series: 3, 5, 10, 14, 17, 23, 24, ?

  1. A.

    30

  2. B.

    31

  3. C.

    32

  4. D.

    33

Attempted by 180 students.

Show answer & explanation

Correct answer: C

Key insight: the series consists of two interleaved subsequences (terms at odd positions and terms at even positions).

  • Odd-position subsequence: 3, 10, 17, 24 — each term increases by 7 (3+7=10, 10+7=17, 17+7=24).

  • Even-position subsequence: 5, 14, 23 — each term increases by 9 (5+9=14, 14+9=23). The next even-position term is 23+9=32.

We need the 8th term (an even-position term), so the answer is 32.

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