Multiple choice

Directions: In this question, a series is given with one term missing. Find the missing term from the given alternatives. 2, 4, 13, 41, 106, ?

  1. 172

  2. 191

  3. 219

  4. 232

  5. 242

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D Correct answer
AI explanation

The differences between the consecutive terms are 2, 9, 28, and 65, which correspond to the cubes of 1, 2, 3, and 4 plus 1. We have 1^3 + 1 = 2, 2^3 + 1 = 9, 3^3 + 1 = 28, and 4^3 + 1 = 65. Following this pattern, the next difference is 5^3 + 1 = 126, so we add this to 106 to get 232.