As per the details in the question the series is in the form of
First series :-
First term = 5
Second term = First term × 1 + 0.25 × 1
⇒ Second term = 5 × 1 + 0.25 × 1 = 5.25
Third term = Second term × 2 + 0.25 × 4
⇒ Third term = 5.25 × 2 + 0.25 × 4 = 11.5
similarly , we can find the all others terms .
Second series :-
First term = 3
Second term = First term × 1 + 0.25 × 1
⇒ Second term = 3 × 1 + 0.25 × 1 = 3.25
Third term = Second term × 2 + 0.25 × 4 = 7.5
⇒ Third term = 3.25 × 2 + 0.25 × 4 = 7.5
Fourth term = Third term × 3 + 0.25 × 9
⇒ Fourth term = 7.5 × 3 + 0.25 × 9 = 24.75
So 24.75 should come in place of (c).