overview of finiteness proof Gerog comment "not helpful", adding more intuitions of "closed forms"
var fib = 0;
print "Enter a number to calculate fibonaci";
read fib;
fib = fib + 1;
var a = 0;
var b = 1;
var i = 0;
for i = 0 to fib do
var temp = a;
a = b;
b = temp + b;
end;
print "The result is:";
print b;
read b;