From the given graph , we can see that the increasing order of series as -
First term = 2
Second term = First term × 2 + 2²
? Second term = 2 × 2 + 2² = 4 + 4 = 8 ;
Third term = Second term × 3 + 3²
? Third term = 8 × 3 + 3² = 24 + 9 = 32 ; 32 is wrong. It should be 33.
Similarly , we can find all others terms also.
Fourth term = Third term × 4 + 4²
? Fourth term = 33 × 4 + 4² = 132 + 16 = 148 ;
Fifth term = Fourth term × 5 + 5²
? Fifth term = 148 × 5 + 5² = 740 + 25 = 765 ;
Sixth term = Fifth term × 6 + 6²
? Sixth term = 765 × 6 + 6² = 4590 + 36 = 4626 ;
Seventh term = Sixth term × 7 + 7²
? Seventh term = 4626 × 7 + 7² = 32382 + 49 = 32431
Hence, 32 is wrong. It should be 33.

The given series is in the below pattern,we can see that
Next term = Previous term ÷ n { putting n = 2 and 1.5 alternately }
First term = 108
Second term = First term ÷ 2
? Second term = 108 ÷ 2 = 54 ;
Third term = Second term ÷ 1.5
? Third term = 54 ÷ 1.5 = 36 ;
Third term = Third term ÷ 2
? Fourth term = 36 ÷ 2 = 18 ;
Fifth term = Fourth term ÷ 1.5
? Fifth term = 18 ÷ 1.5 = 9 is wrong. It should be 12.
Sixth term = Fifth term ÷ 2
? Sixth term = 12 ÷ 2 = 6 ;
Seventh term = Sixth term ÷ 1.5
? Seventh term = 8 ÷ 1.5 = 4
Hence, 9 is wrong. It should be 12.

From above given series , we can see that
The differences are given as -
Second term - First term = 1? 0 = 1 = 1³;
Third term - Second term = 9 ? 1= 8 = 2³;
Similarly , we can find all others terms also.
Fourth term - Third term = 36 ? 9 = 27 = 3³;
Fifth term - Fourth term = 99 ? 36 = 63 ? 4 ³
But , Fifth term - Fourth term = 100 ? 36 = 64 = 4³;
Here , fifth term 99 is wrong , it should be 100 as fifth term .
Sixth term - Fifth term = 225 ? 100 = 125 = 5³;
Seventh term - Sixth term = 441? 225 = 216 = 6³

As per the details in the question the series is in the form of
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 all others terms also.
Fourth term = Third term × 2.5 = 6 × 2.5 = 15 ;
Fifth term = Fourth term × 3 = 15 × 3 = 45 ;
Sixth term = Fifth term × 3.5 = 45 × 3.5 =156.5; 156.5 is wrong. It should be 157.5 .
Seventh term = Sixth term × 4 =157.5 × 4 = 630
Hence, 156.5 is wrong. It should be 157.5.

The given series is in the below pattern,
Next term = ( Previous term × 2 ) - 2
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 = 16; 16 is wrong. It should be 14.
Similarly , we can calculate all others terms also.
Fourth term = ( Third term × 2 ) - 2
? Fourth term = ( 14 × 2 ) - 2 = 26 ;
Fifth term = ( Fourth term × 2 ) - 2
? Fifth term = ( 26 × 2 ) - 2 = 50 ;
Sixth term = ( Third term × 2 ) - 2
? Sixth term = ( 50 × 2 ) - 2 = 98 ;
Seventh term = ( Sixth term × 2 ) - 2
? Seventh term = ( 98 × 2 ) - 2 = 194
Hence, 16 is wrong. It should be 14.

The given series is in the below pattern,
First term = 36
Second term = First term × 6
? Second term = 36 × 6 = 216
Third term = Second term × 0.3
? Third term = 216 × 0.3 = 64.8
Fourth term = Third term × 6
? Fourth term = 64.8 × 6 = 388.8
Fifth term = Fourth term × 0.3
? Fifth term = 388.8 × 0.3 = A
? A = 116.64
So, 116.64 will come in place of A.
Similarly , we can find all others terms also.
now , 116.64 ÷ 36 = 3.24

The given series is in the below pattern,
First term = 4
Second term = First term + 3
? Second term = 4 + 3 = 7
Third term = Second term + 5
? Third term = 7 + 5 = 12
Fourth term = Third term + 7
? Fourth term = 12 + 7 = 19
Fifth term = Fourth term + 9
? Fifth term = 19 + 9 = 28
Sixth term = Fifth term + 11
? Sixth term = 28 + 11 = A
? A = 39
So, 39 will come in place of A.
Similarly , we can find all others terms also.
now , A² ? 4 = 39² ? 4 = 1517
Hence ? = 1517