Multiple choice

Complete the series given below by finding the missing term. $5, 6, 10, 19, 35, ?$

  1. $50$
  2. $55$
  3. $60$
  4. $71$
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C Correct answer
Explanation

Differences: 1, 4, 9, 16. These are squares: 1^2, 2^2, 3^2, 4^2. The next difference should be 5^2 = 25. 35 + 25 = 60.

AI explanation

The differences between consecutive terms are 1, 4, 9, and 16, which are the squares of 1, 2, 3, and 4. Following this pattern of adding perfect squares, the next difference must be 5 x 5, which equals 25. Adding 25 to 35 gives the next term as 60.

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