The following recursively defined sequence can be used to compute k for any positive number k. This
Question:
The following recursively defined sequence can be used to compute √k for any positive number k.
This sequence was known to Sumerian mathematicians 4000 years ago, but it is still used today. Use this sequence to approximate the given square root by finding af. Compare your result with the actual value.
Transcribed Image Text:
a₁ = k; an = = = = ( 4R-1 + k an-1
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Let a 21 Then a k 21 k 21 1a 2 11 as a ...View the full answer
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Related Book For
College Algebra With Modeling And Visualization
ISBN: 9780134418049
6th Edition
Authors: Gary Rockswold
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