Explicit formula help!
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Explicit formula help!

[From: ] [author: ] [Date: 12-06-04] [Hit: ]
2, 6, 24,.........
What is the explicit formula for the sequence:
1, 2, 6, 24,... (the pattern is times1, times2, times3, and so on)

and for
4, 4/3, 4/9, 4/27 it divides by 3 each time!

-
1. The Nth term is N!, that is, the factorial of N. This is the product of N, N-1, N-2, ..., 1.

2. 4*3^(1-N) gives the Nth term. The Nth term of a geometric series is always of the form
.. a_n = (a_1)*r^(N-1), where a_n is the Nth term and "r" is the common ratio. Here, we have r=1/3=3^(-1).
1
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