Implement the numerical approximation of √√2 using for loop, (conforming to 12 dec places). 2 X₁ = 1 Xn+1 == Xn + 2 Xn Display a two-column table showing the number of iteration, n, and the corresponding approximation value in the output of the program.

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Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
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Chapter1: Introduction
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Using MATLAB
Implement the numerical approximation of √√2 using for loop, (conforming to 12 decimal
places).
2
X₁ = 1
Xn+1
=
X +
2
Xn
Display a two-column table showing the number of iteration, n, and the corresponding
approximation value in the output of the program.
Number of
Approximation
Iterations
Value
1
2
3
4
5
6
I
Transcribed Image Text:Implement the numerical approximation of √√2 using for loop, (conforming to 12 decimal places). 2 X₁ = 1 Xn+1 = X + 2 Xn Display a two-column table showing the number of iteration, n, and the corresponding approximation value in the output of the program. Number of Approximation Iterations Value 1 2 3 4 5 6 I
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