Sequence to SQRT$(2)($for loop and vector generation$)$

Consider the sequence

$1,\frac{3}{2},\frac{17}{12},$dots

defined by

$x_1=1,x_k=\frac{1}{2}(x_{k-1}+\frac{2}{x_{k-1}})$ for $k=2,3,4,$dots,$N$

The sequence converges on $\sqrt[\phantom{2}]{2}$ as $N$ increases.

Code has already been provided to define a function named sequenceToSqrt$2$ 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.

Generate a row vector containing the first $N$ terms of the sequence and assign to the variable terms.

Generate a scalar variable that is the relative error, $,$ between the last term in the sequence and $\sqrt[\phantom{2}]{2}$ given by the formula below $($the vertical bars indicate an absolute

value. Assign this error result to the variable relError.

$=|\frac{\sqrt[\phantom{2}]{2}-x_N}{\sqrt[\phantom{2}]{2}}|$

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.