3 5 9 17 33 65 7 (a) (b) (c) (d) (e) Which of the following numbers will come in place of (d)?

The given series is in the below pattern ,
First series :-
First term = 3
Second term = First term × 2 - 1
⇒ Second term = 3 × 2 - 1 = 5
Third term = Second term × 2 - 1
⇒ Third term = 5 × 2 - 1 = 9
similarly , we can find the all others terms .
Second series :-
First term = 7
Second term = First term × 2 - 1
⇒ Second term = 7 × 2 - 1 = 13
Third term = Second term × 2 - 1
⇒ Third term = 13 × 2 - 1 = 25
Fourth term = Third term × 2 - 1
⇒ Fourth term = 25 × 2 - 1 = 49
Fifth term = Fourth term × 2 - 1
⇒ Fifth term = 49 × 2 - 1 = 97
Hence , the place value of ( d ) is 97 .