Multiple choice

Directions: Select the term that will come next in the following series. 2, 7, 17, 32, 52, ?

  1. 77

  2. 134

  3. 126

  4. 102

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A Correct answer
Explanation

The differences between consecutive terms are: 7-2=5, 17-7=10, 32-17=15, 52-32=20. The differences follow an arithmetic progression increasing by 5. The next difference should be 25, so 52+25=77.

AI explanation

This is a series with continuously increasing differences. The first differences between the numbers are 5, 10, 15, and 20, and the second differences are all 5. The next first difference must be 25, so adding 25 to 52 gives 77.