Multiple choice

Find the 15th term of the given sequence. 2, 3, 6, 11, 18, ...

  1. 194

  2. 196

  3. 197

  4. 198
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D Correct answer
AI explanation

The differences between consecutive terms are the consecutive odd numbers 1, 3, 5, 7, and so on. Following this pattern, the terms continue as 11 + 7 = 18, 18 + 9 = 27, 27 + 11 = 38, 38 + 13 = 51, 51 + 15 = 66, 66 + 17 = 83, 83 + 19 = 102, 102 + 21 = 123, 123 + 23 = 146, 146 + 25 = 171, 171 + 27 = 198. The fifteenth term is 198.

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