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Find the next term: 2, 5, 10, 17, 26, ?

  • A.35
  • B.36
  • C.37
  • D.38

Answer: D

Correct answer: 37

The differences between consecutive terms are 3, 5, 7, 9 - the odd numbers in order - so the next difference is 11.

\[26 + 11 = 37\]

Equivalently each term is \(n^2 + 1\), and the sixth term is \(6^2 + 1 = 37\).

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