What is the next number in the following series?
10, 14, 23, 39, 64, ?
Show answer & explanation
Correct answer: C
Explanation
The pattern in the given series is based on adding consecutive square numbers:
• 10 + 22 = 10 + 4 = 14
• 14 + 32 = 14 + 9 = 23
• 23 + 42 = 23 + 16 = 39
• 39 + 52 = 39 + 25 = 64
• 64 + 62 = 64 + 36 = 100
Therefore, the next number in the series is 100.