2, 14, 91, 546, 3002, 15015

The given series is in the below pattern,
∴ First term = 2
Second term = First term × 7
⇒ Second term = 2 × 7 = 14
Similarly we can find the all others terms also.
Third term = Second term × 6.5
⇒ Third term = 14 × 6.5 = 91
Fourth term = Third term × 6
⇒ Fourth term = 91 × 6 = 546
Fifth term = Fourth term × 5.5
⇒ Fifth term = 546 × 5.5 = 3002 is wrong , So 3003 should be Fifth term because ( 546 × 5.5 ) = 3003 .
Sixth term = Fifth term × 5
⇒ Fifth term = 3003 × 5 = 15015.