Sequence to SQRT$(2)$

My Solutions $>$

Consider the sequence

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

defined by

$x1=1,x_k=\frac{1}{2}(x_k-1+\frac{2}{x_k-1})$ for $k=2,3,4,$dots,$N$

This sequence converges to $\sqrt[\phantom{2}]{2}$ as $N$ increases. Note that the $k^{th}$ term in this sequence $(x_k)$ depends on the $(k-1{)}^{th}$ term $(x_k-1).$ Please do not mistake $x_k-1$ to simply be $k-1.$

Code has already been provided to define a function named sequenceToSqrt$2$ that accepts a single input variable N $,$ an integer. Edit the function body to do the following:

Generate a row vector containing the first $N$ terms of the sequence. This vector should be the first variable returned by your function. You should do this using a for loop. $($How do we know a for loop is the correct choice?$)$

Generate a scalar variable that is the relative error, $,$ given by the formula below, between the last term in the sequence and $\sqrt[\phantom{2}]{2}.$ This relative error should be the second variable returned by your function. Note that this is a single scalar value that depends on only the last'term of the sequence. You can therefore define the relative error after you've calculated the first $N$ terms of the sequence, outside of the looping structure.

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

Note the value of the variable N is defined as an input to the function. Do not overwrite this value in your code $($i$.$e$.,$ do not hardcode a fixed value for $N$ into your function$).$ Also, notice that the function name, input, and output variables are already defined, so be sure to use these names in your function.