Multiple choice

Find the missing term ‘?’ of the following series. 7, 12, 32, 105, ?

  1. 400

  2. 428

  3. 444

  4. 422

  5. 431
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B Correct answer
Explanation

Pattern: multiply by consecutive integers starting from 1, then add consecutive numbers with alternating pattern. 7 × 1 + 5 = 12; 12 × 2 + 8 = 32; 32 × 3 + 9 = 105; 105 × 4 + 8 = 428. The multipliers increase by 1, and the additions follow a pattern of 5, 8, 9, 8.

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