Problem :

Write a Matlab program for computation of $$ according to the following procedure in single, double and

quad precision. Discuss the outcome.

Integer k; real a$,$b$,$c$,$d$,$e$,$f$,$g a $<-0$

$b<-1$

c $<-\frac{1}{?}$ sqrt$(2)$

$d<-0\mathrm{.}25$

$e<-1$

for $k=1$ to $5$

$a<-b$

$b<-\frac{b+c}{2}$

c $<-$ sqrt$($ca$)$

$d<-$ d$-$e$($b$-$a$)2$

$e<-2e$

$f<-b\frac{2}{d}$

$g<-(b+c)\frac{2}{4d}$

output k$,$f$,|f-|,g,|g-|$

end for