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

Algebra ->  Equations -> 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      Log On


   



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) About Me  (Show Source):
You can put this solution on YOUR website!
.

To find x%5B2%5D,  substitute  x%5B1%5D = 5  into the formula and compute.


To find x%5B3%5D,  substitute  the found value of  x%5B2%5D  into the formula and compute.


To find x%5B4%5D,  substitute  the found value of  x%5B3%5D  into the formula and compute.



Then use your calculator to find  sqrt%2824%29,  and compare.


Happy calculations (!)