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The Nth Sequence (Posted on 2003-10-21) Difficulty: 5 of 5
What two numbers come next in this sequence, and what is the rule?

1/2, 2, 9, 48, 300, __, __.

See The Solution Submitted by Lewis    
Rating: 3.4000 (5 votes)

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Solution Puzzle Solution With Explanation | Comment 8 of 9 |
(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.


  Posted by K Sengupta on 2008-03-29 10:24:38
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