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Math Help - What is the recursive definition for 1 + (-1)^n?

  1. #1
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    What is the recursive definition for 1 + (-1)^n?

    What is the recursive definition for  1 + (-1)^n ?
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  2. #2
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    Quote Originally Posted by cuddll1 View Post
    What is the recursive definition for  1 + (-1)^n ?
     a_0=0,a_1=2

    a_{n+2}=a_n
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    Hello, cuddll1!

    Another answer . . .


    What is the recursive definition for: .  1 + (-1)^n ?

    . . a_{n+1} \;=\;a_n + (-1)^n\!\cdot\!2

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    Quote Originally Posted by Soroban View Post
    Hello, cuddll1!

    Another answer . . .



    . . a_{n+1} \;=\;a_n + (-1)^n\!\cdot\!2

    so then using n = 1
     <br />
a_(1+1) = a_2 <br />
= a_1 + (-1)^1 *2 <br />
= 0 + (-1)*2 <br />
= -2 <br />
    doesn't it? but doesn't  a_2 = 2 and not -2
    I think your solution will work with (-1)^(n+1) instead of  (-1)^n
    Am I right?


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