For the recursive algorithm p0=1, p1=1/3, pn=(10/3)(pn-1 - pn-2) for n >1 let the error be denoted by p'=pn+en for initial error e0, and assume the error has the form
p'0=p0+e0
p'1=p1+3e0
p'n=(10/3)(p'n-1 - p'n-2) for n>1
so that e1=3e0
Find an equation for en in terms of e0, n, and a constant.