Select the number from among the given options that can replace the question mark (?) in the following series.
16, 33, 100, 401, ?
Show answer & explanation
Correct answer: D
Explanation
The correct answer is Option 4 i.e. 2006
Given series: 16, 33, 100, 401, ?
The series follows the pattern:
(16 × 2) + 1 = 32 + 1 = 33
(33 × 3) + 1 = 99 + 1 = 100
(100 × 4) + 1 = 400 + 1 = 401
(401 × 5) + 1 = 2005 + 1 = 2006
So, the next term in the series is 2006.
Hence, the correct answer is 2006.