Question

Select the number that will come next in the following series

49, 109, 193, 301, ?
1. 468
2. 452
3. 433
4. 500

Answer 1

Correct Answer - Option 3 : 433

The pattern followed here is

12 X (2^2) + 1 = 49

12 X (3^2) + 1 = 109

12 X (4^2) + 1 = 193

12 X (5^2) + 1 = 301

So, the next number in the series will be

12 X (6^2) + 1 = 433

Hence, the next term in the series is 433.