Sequence to SQRT(2) (while loop based on convergence, scalar variables) Consider the sequence defined by x₁ = 1, x₁ = 1/(x₁-1 +_2_₁) for k = 2, 3, 4,... N The sequence converges on √2 as N increases. The relative error, , between the Nih term in the sequence and √2 is given by the formula: My Solutions > Note the vertical bars indicate an absolute value. Code has already been provided to define a function named sqrt2approx that accepts a single scalar input variable error Tol. Add commands to use this input value for the error tolerance as the convergence criterion for the sequence. Use a while loop to generate sequence terms until the relative error, e, is less than or equal to the value in the input tolerance variable errorTol. Assign values to the two output variables as follows. 1. Assign the value of the the last term generated to the variable lastTerm. 2. Count the number of terms needed to meet the tolerance and assign this value with 8-bit unsigned integer datatype to the variable numTerms. Note the value of the variable errorTol is defined as an input to the function. Do not overwrite this value in your code. Be sure to assign a value to each of the output variables.
Sequence to SQRT(2) (while loop based on convergence, scalar variables) Consider the sequence defined by x₁ = 1, x₁ = 1/(x₁-1 +_2_₁) for k = 2, 3, 4,... N The sequence converges on √2 as N increases. The relative error, , between the Nih term in the sequence and √2 is given by the formula: My Solutions > Note the vertical bars indicate an absolute value. Code has already been provided to define a function named sqrt2approx that accepts a single scalar input variable error Tol. Add commands to use this input value for the error tolerance as the convergence criterion for the sequence. Use a while loop to generate sequence terms until the relative error, e, is less than or equal to the value in the input tolerance variable errorTol. Assign values to the two output variables as follows. 1. Assign the value of the the last term generated to the variable lastTerm. 2. Count the number of terms needed to meet the tolerance and assign this value with 8-bit unsigned integer datatype to the variable numTerms. Note the value of the variable errorTol is defined as an input to the function. Do not overwrite this value in your code. Be sure to assign a value to each of the output variables.
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![Sequence to SQRT(2) (while loop based on convergence, scalar variables)
Consider the sequence
defined by
x₁ = 1₁x₁ = 1/(x2-1 +₂
+2) for
for k= 2,3,4,..., N
The sequence converges on √2 as N increases. The relative error, , between the Nth term in the sequence and √2 is given by the formula:
8 =
Note the vertical bars indicate an absolute value. Code has already been provided to define a function named sqrt2approx that accepts a single scalar input variable error Tol
Add commands to use this input value for the error tolerance as the convergence criterion for the sequence. Use a while loop to generate sequence terms until the relative error,
€, is less than or equal to the value in the input tolerance variable error Tol. Assign values to the two output variables as follows.
1. Assign the value of the the last term generated to the variable lastTerm.
2. Count the number of terms needed to meet the tolerance and assign this value with 8-bit unsigned integer datatype to the variable numTerms.
Note the value of the variable errorTol is defined as an input to the function. Do not overwrite this value in your code. Be sure to assign a value to each of the output variables.
Function >
function [lastTerm, numTerms] = sqrt2approx(errorTol)
2 %Enter the commands for your function here.
Code to call your function >
1 [lastTerm, numTerms] = sqrt2approx(1e-5)
My Solutions >
Save
C Reset
MATLAB Documentation
C Reset
▶ Run Function ?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb8058d91-61cb-4e04-a092-9a6fff19c84b%2F07ec8843-2c61-4031-afde-7a05106b342f%2Fayqe5mh_processed.png&w=3840&q=75)
Transcribed Image Text:Sequence to SQRT(2) (while loop based on convergence, scalar variables)
Consider the sequence
defined by
x₁ = 1₁x₁ = 1/(x2-1 +₂
+2) for
for k= 2,3,4,..., N
The sequence converges on √2 as N increases. The relative error, , between the Nth term in the sequence and √2 is given by the formula:
8 =
Note the vertical bars indicate an absolute value. Code has already been provided to define a function named sqrt2approx that accepts a single scalar input variable error Tol
Add commands to use this input value for the error tolerance as the convergence criterion for the sequence. Use a while loop to generate sequence terms until the relative error,
€, is less than or equal to the value in the input tolerance variable error Tol. Assign values to the two output variables as follows.
1. Assign the value of the the last term generated to the variable lastTerm.
2. Count the number of terms needed to meet the tolerance and assign this value with 8-bit unsigned integer datatype to the variable numTerms.
Note the value of the variable errorTol is defined as an input to the function. Do not overwrite this value in your code. Be sure to assign a value to each of the output variables.
Function >
function [lastTerm, numTerms] = sqrt2approx(errorTol)
2 %Enter the commands for your function here.
Code to call your function >
1 [lastTerm, numTerms] = sqrt2approx(1e-5)
My Solutions >
Save
C Reset
MATLAB Documentation
C Reset
▶ Run Function ?
![Function >
1 function [lastTerm, numTerms] = sqrt2approx(errorTol)
%Enter the commands for your function here.
Code to call your function >
1 [lastTerm, numTerms] = sqrt2approx(1e-5)
Assessment:
>
Is first output lastTerm correct for a tolerance input of 1e-5? (Pretest)
>
Is second output num Terms correct for a tolerance input of 1e-5? (Pretest)
Are both outputs correct for a tolerance input with a hidden value?
Does code use a while loop in the solution?
Save
C Reset BBMATLAB Documentation
Run Pretest
C Reset
▶ Run Function ?
? Submit ?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb8058d91-61cb-4e04-a092-9a6fff19c84b%2F07ec8843-2c61-4031-afde-7a05106b342f%2F85kx3v_processed.png&w=3840&q=75)
Transcribed Image Text:Function >
1 function [lastTerm, numTerms] = sqrt2approx(errorTol)
%Enter the commands for your function here.
Code to call your function >
1 [lastTerm, numTerms] = sqrt2approx(1e-5)
Assessment:
>
Is first output lastTerm correct for a tolerance input of 1e-5? (Pretest)
>
Is second output num Terms correct for a tolerance input of 1e-5? (Pretest)
Are both outputs correct for a tolerance input with a hidden value?
Does code use a while loop in the solution?
Save
C Reset BBMATLAB Documentation
Run Pretest
C Reset
▶ Run Function ?
? Submit ?
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