Complete the series: 9, 28, 65, 126, 217, ?
Show answer & explanation
Correct answer: C
Explanation
The given number series follows the pattern: n3 + 1, where n starts from 2.
• 23 + 1 = 8 + 1 = 9
• 33 + 1 = 27 + 1 = 28
• 43 + 1 = 64 + 1 = 65
• 53 + 1 = 125 + 1 = 126
• 63 + 1 = 216 + 1 = 217
Following this pattern, the next term is:
73 + 1 = 343 + 1 = 344
Therefore, the correct answer is (C) 344.