SOLUTION: Consider x n+1= 1/2 (x n +a/x n) for positive values of n, and x n is not equal to 0. If a=24 and x 1=5, find, as accurately as your calculator permits, the value of x 2, x 3 and x

Question 1179063: Consider x n+1= 1/2 (x n +a/x n) for positive values of n, and x n is not equal to 0. If a=24 and x 1=5, find, as accurately as your calculator permits, the value of x 2, x 3 and x 4. Use your calculator to find sqrt 24 and compare your results.
Answer by ikleyn(52780) (Show Source): You can put this solution on YOUR website!
.


To find ,  substitute   = 5  into the formula and compute.


To find ,  substitute  the found value of    into the formula and compute.


To find ,  substitute  the found value of    into the formula and compute.



Then use your calculator to find  ,  and compare.

Happy calculations (!)

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