Sequence to SQRT(2) (for loop and vector generation) Consider the sequence 1.3.172- defined by x₁ = 1₁x₁ = 1/(x^²-1+; +2) for for k=2,3,4,...., N My Solutions The sequence converges on √2 as N increases. Code has already been provided to define a function named sequenceToSqrt2 that accepts a single input variable N that will be an integer. Add commands to the function to do the following and assign the results to the indicated output variable names. 1. Generate a row vector containing the first N terms of the sequence and assign to the variable terms. 2. Generate a scalar variable that is the relative error, , between the last term in the sequence and √2 given by the formula below (the vertical bars indicate an absolute value. Assign this error result to the variable relError. Your solution to this problem should use a for loop. Note the value of the variable N 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.

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
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Sequence to SQRT(2) (for loop and vector generation)
Consider the sequence
1.3.1/12
defined by
x₁ = 1, x₁ =
(xx-1 + 2) for k = 2, 3, 4,... N
The sequence converges on √2 as N increases.
Code has already been provided to define a function named sequenceToSqrt2 that accepts a single input variable N that will be an integer. Add commands to the function to do
the following and assign the results to the indicated output variable names.
My Solutions >
1. Generate a row vector containing the first N terms of the sequence and assign to the variable terms.
2. Generate a scalar variable that is the relative error, &, between the last term in the sequence and √2 given by the formula below (the vertical bars indicate an absolute
value. Assign this error result to the variable relError.
ε =
Your solution to this problem should use a for loop.
Note the value of the variable N 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.
Transcribed Image Text:Sequence to SQRT(2) (for loop and vector generation) Consider the sequence 1.3.1/12 defined by x₁ = 1, x₁ = (xx-1 + 2) for k = 2, 3, 4,... N The sequence converges on √2 as N increases. Code has already been provided to define a function named sequenceToSqrt2 that accepts a single input variable N that will be an integer. Add commands to the function to do the following and assign the results to the indicated output variable names. My Solutions > 1. Generate a row vector containing the first N terms of the sequence and assign to the variable terms. 2. Generate a scalar variable that is the relative error, &, between the last term in the sequence and √2 given by the formula below (the vertical bars indicate an absolute value. Assign this error result to the variable relError. ε = Your solution to this problem should use a for loop. Note the value of the variable N 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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