In the following question, select the missing number from the given series.
14, 15, 38, 141, ?, 3265, 19806
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. 628.
Given series: 14, 15, 38, 141, ?, 3265, 19806
The series follows this pattern:
14 × 1 + (1)³ = 15
15 × 2 + (2)³ = 30 + 8 = 38
38 × 3 + (3)³ = 114 + 27 = 141
141× 4 + (4)³ = 564 + 64 = 628
628 × 5 + (5)³ = 3140 + 125 = 3265
3265 × 6 + (6)³ = 19590 + 216 = 19806
So, the next term in the series is 628.
Hence, the correct answer is 628.