2 , 3 , 11 , 38 ,102 , 229 , 443

The given series is in the below pattern,
First term = 2
Second term = First term + 1³
⇒ Second term = 2 + 1³ = 3 ;
Third term = Second term + 2³
⇒ Third term = 3 + 2³ = 11 ;
Similarly , we can find the all others terms also.
Fourth term = Third term + 4²
⇒ Fourth term = 11 + 3³ = 38 ;
Fifth term = Fourth term + 5²
⇒ Fifth term = 38 + 4³ = 102
Sixth term = Fifth term + 6²
⇒ Sixth term = 102 + 5³ = 229 ; 229 is wrong. It should be 227.
Seventh term = Sixth term + 7²
⇒ Seventh term = 227 + 6³ = 443
Hence, 229 is wrong. It should be 227.