solve these three question,

A simple iteration procedure with $a_0=0$ and

$a_{n+1}=sin((1+\frac{1}{4}{a}_n{)}^2),n0,$

is being used to find an approximate solution to the equation $x=sin((1+\frac{1}{4}x{)}^2).$

Select the correct expressions from the drop down menus to define a procedure which takes a positive

integer $m$ and uses a for loop to calculate $a_m.$ The procedure should return $a_m$ if

and $-1$ otherwise. All calculations are done using $30$ significant figures.

Digits :$=30$;

local a$,$i;

$a[0],$:$=0$;

for i from

to

do

end do;

if abs$($a$[$m$]-$a$[$m then

else

end if

end proc;

Use this procedure to calculate $f(3)$ and $f(8)$ and enter your answers in the box below as decimal

approximations correct to $30$ significant figures. To prevent typing errors, you can copy and paste your

answers from your Maple worksheet.

The value of $f(3)$ is

The value of $f(8)$ is

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