[질문] 피보나치수열의일반항을유도해주세요

점화식a_(n+2)=a_(n+1)+a_n/a_(n+2)-a_(n+1)-a_n=0계수로방정식x^2-x-1=0근을p,q라하면a_(n+2)-p*a_(n+1)=q(a_n+1-p*a_n)(ㄱ)a_(n+2)-q*a_(n+1)=p(a_n+1-q*a_n)