Mathematics Homework Solutions
#5640
Working with iterative methods.
The sequence of value given by the iterative formula is
X n+1=2/9-lnXn with initial value X=1,converges to alpha.
1) State an equation satisfied by alpha, and hence show that alpha is the x coordinate of a point on the curve where y=3.
2) Use this iterative formula to find alpha correct to 2 decimal places, showing each iteration.
This provides a sequence given by an iterative formula, and shows how to find an equation satisfied by the convergence alpha and use the formula to find alpha.
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