3 10 32 111 460 2315 2 (a) (b) (c) (d) (e) Which of the following numbers will come in place of (b)?

The given series is in the below pattern ,
First series :-
First term = 3
Second term = First term × 1 + 7 × 1
⇒ Second term = 3 × 1 + 7 × 1 = 3 + 7 = 10
Third term = Second term × 2 + 6 × 2
⇒ Third term = 10 × 2 + 6 × 2 = 20 + 12 = 32
similarly , we can calculate the all next terms .
Second series :-
First term = 2
Second term = First term × 1 + 7 × 1
⇒ Second term = 2 × 1 + 7 × 1 = 2 + 7 = 9
Third term = Second term × 2 + 6 × 2
⇒ Third term = 9 × 2 + 6 × 2 = 18 + 12 = 30
Hence , the place value of ( b ) is 30 .