The given series is in the below pattern ,
First series :-
First term = 38
Second term = First term × 0.5
⇒ Second term = 38 × 0.5 = 19
Third term = Second term × 1.5
⇒ Third term = 19 × 1.5 = 28.5
similarly , we can find the all others terms .
Second series :-
First term = 18
Second term = First term × 0.5
⇒ Second term = 18 × 0.5 = 9
Third term = Second term × 1.5
⇒ Third term = 9 × 1.5 = 13.5
Fourth term = Third term × 2.5
⇒ Fourth term = 13.5 × 2.5 = 33.75
Fifth term = Fourth term × 3.5
⇒ Fifth term = 33.75 × 3.5 = 118.125
So 118.125 should come in place of (d).