The cuberoot of a number can be approximated by the recursive formula А 1 ==2sn-1 3 A₁J²) Sn 25₁-1 + (Sn−1)² where so is the initial (integer) guess estimate of Find the second iterative value of 3√Ā. A 3√ A A if A = 79.9. Round off the final answer to five decimal places. : ●●●

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.1: Infinite Sequences And Summation Notation
Problem 66E
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The cuberoot of a number can be approximated by the recursive formula
А
1
==2sn-1
3
A₁J²)
Sn
2S₁-1 +
(Sn−1)²
where so is the initial (integer) guess estimate of
Find the second iterative value of
3√Ā.
A
3√ A A if A = 79.9.
Round off the final answer to five decimal places.
:
Transcribed Image Text:The cuberoot of a number can be approximated by the recursive formula А 1 ==2sn-1 3 A₁J²) Sn 2S₁-1 + (Sn−1)² where so is the initial (integer) guess estimate of Find the second iterative value of 3√Ā. A 3√ A A if A = 79.9. Round off the final answer to five decimal places. :
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