The cuberoot of a number can be approximated by the recursive formula 1 A Sn - = — (25 -1 + (5 2²1 ²2) (Sn-1)² where so is the initial (integer) guess estimate of 3. Find the second iterative value of 3 A if A = 35.08. Round off the final answer to five decimal places.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.1: Real Numbers
Problem 11E
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The cuberoot of a number can be approximated by the recursive formula
1
A
Sn
= = = √( 2 5 -1 + (8 +²+1) ²)
where so is the initial (integer) guess estimate of 3.
Find the second iterative value of 3 A if A = 35.08.
Round off the final answer to five decimal places.
Transcribed Image Text:The cuberoot of a number can be approximated by the recursive formula 1 A Sn = = = √( 2 5 -1 + (8 +²+1) ²) where so is the initial (integer) guess estimate of 3. Find the second iterative value of 3 A if A = 35.08. Round off the final answer to five decimal places.
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