# Set Theory

• Dec 10th 2008, 08:45 AM
flwer_13
Set Theory
Hi Can anyone please help me to solve this problem?

List the elements (a1, a2, a3 . . . ) where an is defined as a1 = 1, an = nan-1, n E N, 1 < n < 7.
• Dec 10th 2008, 09:10 AM
Mathstud28
Quote:

Originally Posted by flwer_13
Hi Can anyone please help me to solve this problem?

List the elements (a1, a2, a3 . . . ) where an is defined as a1 = 1, an = nan-1, n E N, 1 < n < 7.

$a_1=1$
$a_2=2\cdot a_{2-1}=2\cdot{1}=2$
$a_3=3\cdot a_{3-1}=3\cdot 2=6$
$\vdots$
$a_n=n\cdot a_{n-1} =n\cdot(n-1)\cdot a_{n-2}=\cdots=n\cdot(n-1)\cdot(n-2)\cdot(n-3)\cdots1=n!$
• Dec 10th 2008, 09:16 AM
flwer_13
Thank You!