Correct Answer - Option 2 : 775

The pattern followed here is

(1^{2} + 1^{3} + 1^{4}) = 3

(2^{2} + 2^{3} + 2^{4}) = 28

(3^{2} + 3^{3} + 3^{4}) = 117

(4^{2} + 4^{3}+ 4^{4}) = 336

So, the next number in the series will be

(5^{2} + 5^{3} + 5^{4}) = 775

Hence, the next term in the series is 775.