2 , 9 , 5 , 36 , 125 , 648 , 3861

As per the details in the question the series is in the form of
First term = 2
Second term = First term × 1 + 7
? Second term = 2 × 1 + 7 = 2 + 7 = 9 ;
Third term = Second term × 2 - 11
? Third term = 9 × 2 - 11 = 18 - 11 = 5; 5 is wrong. It should be 7 as Third term .
Similarly , we can find all others terms also.
Fourth term = Third term × 3 + 15
? Fourth term = 7 × 3 + 15 = 21 + 15 = 36 ;
Fifth term = Fourth term × 4 - 19
? Fifth term = 36 × 4 - 19 = 144 -19 = 125 ;
Sixth term = Fifth term × 5 + 23
? Sixth term = 125 × 5 + 23 = 625 + 23 = 648 ;
Seventh term = Sixth term × 6 - 27
? Seventh term = 648 × 6 - 27 = 3888 - 27 = 3861 .
New series is
First term = 5 × 1 + 7 = 12;
Second term = 12 × 2 - 11 = 13.
Hence Second term of new series is 13 and correct option is ( E ) .