5 6 16 57 244 1245 2 (a) (b) (c) (d) (e) Which of the following numbers will come in place of (d)?

As per the details in the question the series is in the form of
First series :-
First term = 5
Second term = First term × 1 + 1²
⇒ Second term = 5 × 1 + 1 = 6
Third term = Second term × 2 + 2²
⇒ Third term = 6 × 2 + 4 = 16
similarly , we can find the all others terms .
Second series :-
First term = 2
Second term = First term × 1 + 1²
⇒ Second term = 2 × 1 + 1 = 3
Third term = Second term × 2 + 2²
⇒ Third term = 3 × 2 + 4 = 10
Fourth term = Third term × 3 + 3²
⇒ Fourth term = 10 × 3 + 9 = 39
Fifth term = Fourth term × 4 + 4²
⇒ Fifth term = 39 × 4 + 16 = 172
Hence , the place value of ( d ) is 172 .