Find the missing term. 180, 192, ?, 216

2023

Find the missing term.

180, 192, ?, 216

  1. A.

    202

  2. B.

    204

  3. C.

    345

  4. D.

    567

Show answer & explanation

Correct answer: B

Concept: In an arithmetic progression (AP), the difference between every pair of consecutive terms is the same constant value (the common difference). To find a missing term, first find this common difference from two known consecutive terms, then apply it to the term next to the gap.

  1. The given series is 180, 192, ?, 216.

  2. Find the common difference from the first two known terms: 192 - 180 = 12.

  3. Add this common difference to 192 to get the missing term: 192 + 12 = 204.

Cross-check: Applying the same common difference forward, 204 + 12 = 216, which matches the last given term, confirming the constant gap of 12 holds across the whole series.

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