# [SOLVED] function

#### dwsmith

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

#### Anonymous1

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

$$\displaystyle \implies f(n+2) = f\left\{(n+1)+1\right\}=1-[f(n+1)]^2 = 1 - \left\{ 1-[f(n)]^2 \right\}^2$$

dwsmith

#### dwsmith

MHF Hall of Honor
Ok that trumps the ... answer first posed.

#### Anonymous1

I am almost positive that isn't the answer but I could be wrong.
Which step do you disagree with, particularly?

#### dwsmith

MHF Hall of Honor
Which step do you disagree with, particularly?
I don't disagree with that but when your response was first .... I was in disagreement.

#### Anonymous1

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!