# Numerical Methods: Fixed-Point Iteration

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Please show each step of your solution and tell me the theorems, definitions, etc. if you use any.

Let g(x) = 0.5x + 1.5 and p0 = 4, and consider fixed-point iteration.

a) Show that the fixed point is P=3

b) Show that |P - Pn| = |P - Pn-1|/2 for n = 1, 2, 3...

c) Show that |P - Pn| = |P - P0|/2^2 for n = 1, 2, 3...

https://brainmass.com/math/numerical-analysis/numerical-methods-fixed-point-iteration-44140

#### Solution Summary

This is a problem regarding fixed-point iteration that is solved with all calculations shown, in the handwritten attached picture file.

$2.49