Function e A Save C Reset I MATLAB Documentation 1 function [lastTerm, numTerms] = sqrt2approx(errorTol) %Enter the commands for your function here. % 4 % This function calculates terms of the sequence 5 % 6 % x(1) = 1 , x(k) = (x(k-1) + 2/x(k-1))/2 7 % 8 % until the relative error between the Nth term and sqrt(2) falls below 9 % a given tolerance. 10 % 11 % Input: 12 % errorTol - The tolerance used as the convergence criterion 13 % Output: - The last term in the sequence (that meets the tolerance) - The number of terms required to meet the tolerance 14 % lastTerm 15 % numTerms 16 Code to call your function e C Reset 1 [lastTerm, numTerms] = sqrt2approx(1e-5)
Function e A Save C Reset I MATLAB Documentation 1 function [lastTerm, numTerms] = sqrt2approx(errorTol) %Enter the commands for your function here. % 4 % This function calculates terms of the sequence 5 % 6 % x(1) = 1 , x(k) = (x(k-1) + 2/x(k-1))/2 7 % 8 % until the relative error between the Nth term and sqrt(2) falls below 9 % a given tolerance. 10 % 11 % Input: 12 % errorTol - The tolerance used as the convergence criterion 13 % Output: - The last term in the sequence (that meets the tolerance) - The number of terms required to meet the tolerance 14 % lastTerm 15 % numTerms 16 Code to call your function e C Reset 1 [lastTerm, numTerms] = sqrt2approx(1e-5)
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![Function e
A Save
C Reset
I MATLAB Documentation
1 function [lastTerm, numTerms] = sqrt2approx(errorTol)
2 %Enter the commands for your function here.
3 %
4 % This function calculates terms of the sequence
5 %
6 %
x(1) = 1, x(k) = (x(k-1) + 2/x(k-1))/2
7 %
8 % until the relative error between the Nth term and sqrt(2) falls below
9 % a given tolerance.
10 %
11 % Input:
12 %
errorTol
- The tolerance used as the convergence criterion
13 % Output:
14 %
lastTerm
- The last term in the sequence (that meets the tolerance)
15 %
numTerms
The number of terms reguired to meet the tolerance
16
Code to call your function e
C Reset
1 [lastTerm, numTerms] = sqrt2approx(1e-5)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F03a9ebbb-ca97-43d4-9de6-405a09147162%2F11cb8cb3-edce-4b95-a437-bb73b2d9172e%2Febrvy_processed.png&w=3840&q=75)
Transcribed Image Text:Function e
A Save
C Reset
I MATLAB Documentation
1 function [lastTerm, numTerms] = sqrt2approx(errorTol)
2 %Enter the commands for your function here.
3 %
4 % This function calculates terms of the sequence
5 %
6 %
x(1) = 1, x(k) = (x(k-1) + 2/x(k-1))/2
7 %
8 % until the relative error between the Nth term and sqrt(2) falls below
9 % a given tolerance.
10 %
11 % Input:
12 %
errorTol
- The tolerance used as the convergence criterion
13 % Output:
14 %
lastTerm
- The last term in the sequence (that meets the tolerance)
15 %
numTerms
The number of terms reguired to meet the tolerance
16
Code to call your function e
C Reset
1 [lastTerm, numTerms] = sqrt2approx(1e-5)
Transcribed Image Text:FA2.4.1 Sequence to SQRT(2) (while loop based on convergence, scalar variables)
My Solutions >
Consider the sequence
3 17
defined by
X1 = 1, x =
(니 +2) 1or k= 2,3,4 N
X-1
The sequence converges on v2 as N increases. The relative error, e, between the Nth term in the sequence and v2 is given by the formula:
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 errorTol
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,
ɛ, 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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