# sequence

#### Vali

##### Junior Member
I have the following sequence $$\displaystyle (x_{n})_{n\geq 1}$$ ; $$\displaystyle x_{n+1}=x_{n}^2-x_{n}+1$$
If $$\displaystyle x_{100}=1$$ then $$\displaystyle x_{2}=?$$

#### Vali

##### Junior Member
I did it.I got the response 1.
In the second exercise I need to find $$\displaystyle x_{1}$$ such that $$\displaystyle (x_{n})_{n\geq 1}$$ is convergent.

#### pka

##### Elite Member
I have the following sequence $$\displaystyle (x_{n})_{n\geq 1}$$ ; $$\displaystyle x_{n+1}=x_{n}^2-x_{n}+1$$
If $$\displaystyle x_{100}=1$$ then $$\displaystyle x_{2}=?$$
In the second exercise I need to find $$\displaystyle x_{1}$$ such that $$\displaystyle (x_{n})_{n\geq 1}$$ is convergent.
If $$\displaystyle x_1=1$$ then $$\displaystyle x_2=~?,~x_3=~?~\&~x_{100}=~?$$
Now you carry on.