数列{xn}满足:x1=1,x2=-1,且xn-1+xn+1=2xn(n≥2),则xn=-2n+3-2n+3
数列{xn}满足:x1=1,x2=-1,且xn-1+xn+1=2xn(n≥2),则xn=-2n+3-2n+3
日期:2016-11-17 12:21:57 人气:1
∵xn-1+xn+1=2xn(n≥2),∴数列是一个等差数列,∵x1=1,x2=-1,∴d=-1-1=-2∴xn=x1+(-2)(n-1)=-2n+3故答案为:-2n+3
数列{xn}满足:x1=1,x2=-1,且xn-1+xn+1=2xn(n≥2),则xn=-2n+3-2n+3