kill(all)$

van=facebook.com/LearningCalculus;

f(n):=sum(sqrt(1+1/k^2+1/(k+1)^2),k,1,n);

create_list([n,f(n)],n,1,6);

F(n):=''(radcan(f(n)));

top:create_list(n+1,n,1,6);

bot:create_list(n^2+2*n,n,1,6);

create_list([i,top[i]/bot[i]],i,1,6);