Multiple choice

Find the missing (?) number in the series. $13, 14, 18, 27, ?, 68, 104....$

  1. $36$
  2. $41$
  3. $43$
  4. $54$
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C Correct answer
Explanation

The pattern involves adding consecutive squared natural numbers: 13 + 1² = 14, 14 + 2² = 18, 18 + 3² = 27, 27 + 4² = 43, 43 + 5² = 68, 68 + 6² = 104. Each step adds the next perfect square (1, 4, 9, 16, 25, 36). The missing number after 27 is 27 + 16 = 43.

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