已知数列{an}满足a1=1/4,a2=3/4,a(n+1)=2an-a(n-1)(n>等于2,n属于N*),数列{bn}满足:b1

问题描述:

已知数列{an}满足a1=1/4,a2=3/4,a(n+1)=2an-a(n-1)(n>等于2,n属于N*),数列{bn}满足:b1

a(n+1) = 2a(n) - a(n-1),a(n+2) = 2a(n+1)-a(n),a(n+2) - a(n+1) = a(n+1) - a(n),{a(n+1)-a(n)}是首项为a(2)-a(1)=3/4-1/4=1/2,的常数数列.a(n+1) - a(n) = 1/2,{a(n)}是首项为a(1)=1/4,公差为1/2的等差数列.a(n) ...