Multiple choice

Identify the missing number in the following sequence: 2, 17, 52, ___, 206

  1. 73

  2. 85

  3. 113

  4. 184
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C Correct answer
Explanation

The sequence is 2, 17, 52, 113, 206. Differences: 15, 35, 61, 93. Second differences: 20, 26, 32. The second difference increases by 6. The next difference should be 93 + 38 = 131, but 113 + 93 = 206. The pattern is 3n^3 + ... or similar; 113 fits the sequence.

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