Multiple choice

Directions: Find the next term in the series. 2, 5, 10, 17, 26, 37, ?

  1. 50

  2. 57

  3. 62

  4. 72
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A Correct answer
Explanation

The sequence follows the pattern n^2 + 1: 1^2+1=2, 2^2+1=5, 3^2+1=10, 4^2+1=17, 5^2+1=26, 6^2+1=37. The next term is 7^2 + 1 = 50.

AI explanation

The differences between the consecutive terms are consecutive odd numbers. The sequence of differences is 3, 5, 7, 9, and 11. To find the next term, add the next odd number, 13, to the last term of the sequence. Adding 13 to 37 results in 50.

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