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 .

The given series is in the below pattern ,
First series :-
First term = 5
Second term = First term × 2 - 2
? Second term = 5 × 2 - 2 = 8
Third term = Second term ÷ 2 + 2
? Third term = 8 ÷ 2 + 2 = 6
Fourth term = Third term × 2 - 2
? Fourth term = 6 × 2 - 2 = 10
similarly , we can find the all others terms .
........... and so on.
Second series :-
First term = 7
Second term = First term × 2 - 2
? Second term = 7 × 2 - 2 = 12
Third term = Second term ÷ 2 + 2
? Third term = 12 ÷ 2 + 2 = 8
Fourth term = Third term × 2 - 2
? Fourth term = 8 × 2 - 2 = 14
Hence , the place value of ( c ) is 14 .

The given series is in the below pattern ,
First series :-
First term = 3
Second term = First term ÷ 2 + 3.5
? Second term = 3 ÷ 2 + 3.5 = 1.5 + 3.5 = 5
Third term = Second term × 2 + 12
? Third term = 5 × 2 + 12 = 10 + 12 = 22
similarly , we can find the all others terms .
Second series :-
First term = 1
Second term = First term ÷ 2 + 3.5
? Second term = 1 ÷ 2 + 3.5 = 0.5 + 3.5 = 4
Third term = Second term × 2 + 12
? Third term = 4 × 2 + 12 = 8 + 12 = 20
Hence , the place value of ( a ) is 4 .

The given series is in the below pattern ,
First series :-
First term = 17
Second term = First term + 4.5
? Second term = 17 + 4.5 = 21.5
Third term = Second term + 9
? Third term = 21.5 + 9 = 30.5
similarly , we can find the all others terms .
Second series :-
First term = 21
Second term = First term + 4.5
? Second term = 21 + 4.5 = 25.5
Third term = Second term + 9
? Third term = 25.5 + 9 = 34.5
Fourth term = Third term + 13.5
? Fourth term = 34.5 + 13.5 = 48
Fifth term = Fourth term + 18
? Fifth term = 48 + 18 = 66
Sixth term = Fifth term + 22.5
? Sixth term = 66 + 22.5 = 88.5
Hence , the place value of ( e ) is 88.5 .

As per the details in the question the series is in the form of
First series :-
First term = 2
Second term = First term × 1.5
? Second term = 2 × 1.5 = 3
Third term = Second term × 2
? Third term = 3 × 2 = 6
similarly , we can find the all others terms .
Second series :-
First term = 16
Second term = First term × 1.5
? Second term = 16 × 1.5 = 24
Third term = Second term × 2
? Third term = 24 × 2 = 48
Fourth term = Third term × 2.5
? Fourth term = 48 × 2.5 = 120
Fifth term = Fourth term × 3
? Fifth term = 120 × 3 = 360
Hence , the place value of ( d ) is 360 .

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).

From above given series , we can see that
The sequence order of above series is given as-
adbcacbdabcddcbadbcacbda
Hence , required answer will be cbbaa .

The given series is in the below pattern , we can see that
The series formed is:
a a b a b c a b c d d c b a c b a b a a in which the letters equi?distant from the beginning and end are the same.
Hence , required answer will be abdca .

The series is babb / bbab / bbba / bbbb.
Thus, in each sequence, 'a' moves one step forward and 'b' takes its place and finally in the fourth sequence, it is eliminated.

The given series is in the below pattern , we can see that
cabbac / cabbac / cabbac.
Hence , required answer will be acbcb .