Consider the iterated map x n + 1 = F ( x n ) {\displaystyle x_{n+1}=F(x_{n})} where F ( x ) = 3 2 x ( 1 − x ) {\displaystyle F(x)={\frac {3}{2}}x(1-x)} for 0 ≤ x ≤ 1 {\displaystyle 0\leq x\leq 1} .
Sketch the cobweb corresponding to the sequence x n {\displaystyle x_{n}} with x 0 = 1 / 8 {\displaystyle x_{0}=1/8} .
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