2, 11, 38, 197, ? , 1170, 8227, 65806

As per the details in the question the series is in the form of
First term = 2
Second term = First term × 3 + 5
? Second term = 2 × 3 + 5 = 11
Third term = Second term × 4 - 6
? Third term = 11 × 3 + 5 = 38
Fourth term = Third term × 5 + 7
? Fourth term = 38 × 5 + 7 = 197 ;
Fifth term = Fourth term × 6 - 8
? Fifth term = 197 × 6 - 8 = ?
? ? = 1174
Similarly , we can find all others terms also.
Sixth term = Fifth term × 7 + 9
? Sixth term = 1174 × 7 + 9 = 8227;
Seventh term = Sixth term × 8 - 10
? Sixth term = 1174 × 8 - 10 = 65806
Hence , Fifth term = 1174