> 数学 >
数列{an}满足an+1=3an+n,问是否在适当的a1,使是等差数列
人气:149 ℃ 时间:2019-08-19 19:18:02
解答
a(n+1)=3an+n
a(n+1) +(1/2)(n+1)+1/4= 3(an + (1/2)n + 1/4)
=>{an + (1/2)n + 1/4} 是等比数列,q=3
an + (1/2)n + 1/4 = 3^(n-1) .( a1 + 3/4)
等差数列
=> a1 + 3/4 =0
a1=- 3/4
推荐
猜你喜欢
© 2024 79432.Com All Rights Reserved.
电脑版|手机版