Question

Consider the infinite sequence an=1,2,6,24,120... What function defines this sequence recursively?

Answer 1

As the sequence progresses it multiplies by the next number so

1 times 2 = 2

2 times 3= 6

6 times 4= 24

24 times 5= 120

and if you wanted to continue forward

120 times 6= 720

take this how you would like and rewrite it in your own words.