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Math Help - Set Theory

  1. #1
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    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.
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  2. #2
    MHF Contributor Mathstud28's Avatar
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    Quote Originally Posted by flwer_13 View Post
    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!
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  3. #3
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    Thank You!
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