Multiple choice

Find the missing number (?) in the following sequence. 2, 5, 10, 17, ?, 37

  1. $20$
  2. $26$
  3. $25$
  4. $16$
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B Correct answer
Explanation

The pattern is: each term = n² + 1, where n starts from 1. 1² + 1 = 2, 2² + 1 = 5, 3² + 1 = 10, 4² + 1 = 17, 5² + 1 = 26, 6² + 1 = 37. The missing number is 5² + 1 = 26. Option A (20), C (25), and D (16) don't fit this pattern.