What two numbers come next in this sequence, and what is the rule?
1/2, 2, 9, 48, 300, __, __.
(In reply to
Answer by K Sengupta)
The pth term of the sequence is constituted by multiplying the
factorial of p with half of p.
Accordingly,
S(p) = (p/2)*(p!)
Thus, we observe that:
S(1) = (1/2)*1! = 1/2
S(2) = (2/2)*2! = 2
S(3) = (3/2)*3! = 9
S(4) = (4/2)*4! = 48
S(5) = (5/2)*5! = 300
S(6) = (6/2)*6! = 2160
S(7) = (7/2)*7! = 17640
Consequently, the required next two terms are 2160 and 17640.
Puzzle Solution With Explanation
