数列{an}中,a1=14,3an=3a(n+1) +2,则使ana(n+5)
人气:475 ℃ 时间:2020-03-29 22:33:59
解答
a(n+1)=a(n)-2/3,
{a(n)}是首项为14,公差为-2/3的等差数列.
a(n)=14-2(n-1)/3
a(n+5)=14-2(n+5-1)/3=14-2(n+4)/3,
0>a(n)a(n+5)=[14-2(n-1)/3][14-2(n+4)/3],
0>[21-(n-1)][21-(n+4)]=(22-n)(17-n)=(n-17)(n-22),
17
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