已知数{An}满足An+1=3An+3ˆ(n+1)-1(n∈N+),且A4=365,求数列{An}通项An
问题描述:
已知数{An}满足An+1=3An+3ˆ(n+1)-1(n∈N+),且A4=365,求数列{An}通项An
如题,脚码打不出来,
答
A(n+1)=3An+3*(n+1)-1 ======>>>==>>>> A(n+1)-(1/2)×3^(n+2)-(1/2)=3An-(3/2)×3^(n+1)-(3/2)==>>>> A(n+1)-(1/2)×3^(n+2)-(1/2)=3[An-(1/2)×3^(n+1)-(1/2)]===>>>> [A(n+1)-(1/2)×3^(n+2...