Multiple choice

Find the missing term in the following number series. 17, 33.5, 133, ?, 6370

  1. 796.5

  2. 786.5

  3. 850.5

  4. 3561

  5. 3652.5
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A Correct answer
Explanation

The pattern is: 17 * 1.5 + 8 = 33.5; 33.5 * 3 + 31.5 = 133. This is not obvious. Let's look at: 17 * 2 - 0.5 = 33.5; 33.5 * 4 - 1 = 133; 133 * 6 - 1.5 = 796.5; 796.5 * 8 - 2 = 6370. The pattern is multiplying by consecutive even numbers and subtracting multiples of 0.5.

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