2 3 10 39 172 885 5 (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 = 2
Second term = First term × 1 + 1²
⇒ Second term = 2 × 1 + 1 = 2 + 1 = 3
Third term = Second term × 2 + 2²
⇒ Third term = 3 × 2 + 4 = 6 + 4 = 10
similarly , we can find the all others terms .
Second series :-
First term = 5
Second term = First term × 1 + 1²
⇒ Second term = 5 × 1 + 1 = 5 + 1 = 6
Third term = Second term × 2 + 2²
⇒ Third term = 6 × 2 + 4 = 12 + 4 = 16
Fourth term = Third term × 3 + 3²
⇒ Fourth term = 16 × 3 + 9 = 57
Fifth term = Fourth term × 4 + 4²
⇒ Fifth term = 49 × 4 + 16 = 244
Hence , the place value of ( d ) is 244 .