Find equation of sequence

Question

Continue the two sequence of number below and find equation to each of the sequence

n 1 2 3 4 5 6 7 Equation

a_n 2 5 9 14 20 27

b_n 1 3 12 60 360 2520

Answer 1

This is not a SOLIDWORKS question, but the patterns to help answer these questions are that

an increases numerically by the next number

2+3 = 5, 5+4=9, 9+5=14, etc.

and bn increases by multiples starting with 3 and stepping up with each next integer

1 x 3 = 3, 3 x 4 = 12, 12 x 5 = 60, 60 x 6 = 360 and so on