1 , 2 , 6 , 33 ,148 , 765 , 4626

From above given series , we can see that
Next term = Previous term × variable + variable²
First term = 1
Second term = First term × 1 + 1²
? Second term = 1 × 1 + 1² = 1 + 1 = 2 ;
Third term = Second term × 2 + 2²
? Third term = 2 × 2 + 2² = 4 + 4 = 6; 6 is wrong. It should be 8. Here, 6 is the wrong number.
Similarly , we can find all others terms also.
Fourth term = Third term × 3 + 3²
? Fourth term = 8 × 3 + 3² = 24 + 9 = 33 ;
Fifth term = Fourth term × 4 + 4²
? Fifth term = 33 × 4 + 4² = 132 + 16 = 148 ;
Sixth term = Fifth term × 5 + 5²
? Sixth term = 148 × 5 + 5² = 740 + 25 = 765 ;
Seventh term = Sixth term × 6 + 6²
? Seventh term = 765 × 6 + 6² = 4590 + 36 = 4626 .
New series is given as :-
First term = wrong term × 1 + 1² = 6 × 1 + 1² = 7;
Second term = wrong term × 1 + 1² = 6 × 2 + 2² = 16.
Hence Second term of new series is 16 .