Multiple choice

Directions: Find the next term of the series: 7, 9, 14, 22, 33, 47, ___

  1. 58

  2. 61

  3. 64

  4. 67

  5. 70
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C Correct answer
Explanation

The differences between terms are 2, 5, 8, 11, 14. This is an arithmetic progression of differences with a common difference of 3. The next difference is 14 + 3 = 17, so the next term is 47 + 17 = 64.

AI explanation

The differences between the consecutive terms increase by consecutive integers. The differences are 9-7=2, 14-9=5, 22-14=8, 33-22=11, and 47-33=14, showing a steady increase of 3. Adding 3 to the last difference of 14 gives 17, so the next term is 47 + 17 = 64.

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