# [SOLVED] function

• May 10th 2010, 06:27 PM
dwsmith
[SOLVED] function
Let f be a function such that $f(n+1)=1-[f(n)]^2, \forall n\in\mathbb{Z}, n\geq0$. How would f(n+2) be expressed in terms of f(n)?
• May 10th 2010, 06:30 PM
Anonymous1
Quote:

Originally Posted by dwsmith
Let f be a function such that $f(n+1)=1-[f(n)]^2, \forall n\in\mathbb{Z}, n\geq0$. How would f(n+2) be expressed in terms of f(n)?

$f(n+1)=1-[f(n)]^2$

$\implies f(n+2) = f\left\{(n+1)+1\right\}=1-[f(n+1)]^2 = 1 - \left\{ 1-[f(n)]^2 \right\}^2$
• May 10th 2010, 06:31 PM
dwsmith
Ok that trumps the ... answer first posed.
• May 10th 2010, 06:37 PM
Anonymous1
Quote:

Originally Posted by dwsmith
I am almost positive that isn't the answer but I could be wrong.

Which step do you disagree with, particularly?
• May 10th 2010, 06:38 PM
dwsmith
Quote:

Originally Posted by Anonymous1
Which step do you disagree with, particularly?

I don't disagree with that but when your response was first .... I was in disagreement.
• May 10th 2010, 06:41 PM
Anonymous1
Quote:

Originally Posted by dwsmith
I don't disagree with that but when your response was first .... I was in disagreement.

Oh yeah that, haha.

When I am fairly certain I know the answer, I like to secure my position. (Evilgrin)

Cheers!