I have the following sequence (x_{n})_{n\geq 1} ; x_{n+1}=x_{n}^2-x_{n}+1 If x_{100}=1 then x_{2}=?
V Vali Junior Member Joined Feb 27, 2018 Messages 87 May 22, 2019 #1 I have the following sequence (xn)n≥1\displaystyle (x_{n})_{n\geq 1}(xn)n≥1 ; xn+1=xn2−xn+1\displaystyle x_{n+1}=x_{n}^2-x_{n}+1xn+1=xn2−xn+1 If x100=1\displaystyle x_{100}=1x100=1 then x2=?\displaystyle x_{2}=?x2=?
I have the following sequence (xn)n≥1\displaystyle (x_{n})_{n\geq 1}(xn)n≥1 ; xn+1=xn2−xn+1\displaystyle x_{n+1}=x_{n}^2-x_{n}+1xn+1=xn2−xn+1 If x100=1\displaystyle x_{100}=1x100=1 then x2=?\displaystyle x_{2}=?x2=?
V Vali Junior Member Joined Feb 27, 2018 Messages 87 May 22, 2019 #2 I did it.I got the response 1. In the second exercise I need to find x1\displaystyle x_{1}x1 such that (xn)n≥1\displaystyle (x_{n})_{n\geq 1}(xn)n≥1 is convergent.
I did it.I got the response 1. In the second exercise I need to find x1\displaystyle x_{1}x1 such that (xn)n≥1\displaystyle (x_{n})_{n\geq 1}(xn)n≥1 is convergent.
pka Elite Member Joined Jan 29, 2005 Messages 11,988 May 22, 2019 #3 Vali said: I have the following sequence (xn)n≥1\displaystyle (x_{n})_{n\geq 1}(xn)n≥1 ; xn+1=xn2−xn+1\displaystyle x_{n+1}=x_{n}^2-x_{n}+1xn+1=xn2−xn+1 If x100=1\displaystyle x_{100}=1x100=1 then x2=?\displaystyle x_{2}=?x2=? Click to expand... Vali said: In the second exercise I need to find x1\displaystyle x_{1}x1 such that (xn)n≥1\displaystyle (x_{n})_{n\geq 1}(xn)n≥1 is convergent. Click to expand... If x1=1\displaystyle x_1=1x1=1 then x2= ?, x3= ? & x100= ?\displaystyle x_2=~?,~x_3=~?~\&~x_{100}=~?x2= ?, x3= ? & x100= ? Now you carry on.
Vali said: I have the following sequence (xn)n≥1\displaystyle (x_{n})_{n\geq 1}(xn)n≥1 ; xn+1=xn2−xn+1\displaystyle x_{n+1}=x_{n}^2-x_{n}+1xn+1=xn2−xn+1 If x100=1\displaystyle x_{100}=1x100=1 then x2=?\displaystyle x_{2}=?x2=? Click to expand... Vali said: In the second exercise I need to find x1\displaystyle x_{1}x1 such that (xn)n≥1\displaystyle (x_{n})_{n\geq 1}(xn)n≥1 is convergent. Click to expand... If x1=1\displaystyle x_1=1x1=1 then x2= ?, x3= ? & x100= ?\displaystyle x_2=~?,~x_3=~?~\&~x_{100}=~?x2= ?, x3= ? & x100= ? Now you carry on.
