设等差数列{an}、{bn}的前n项和为Sn、Tn,且SnTn=2n-35n+2,则a6b6=______.-数学

题目简介

设等差数列{an}、{bn}的前n项和为Sn、Tn,且SnTn=2n-35n+2,则a6b6=______.-数学

题目详情

设等差数列{an}、{bn}的前n项和为Sn、Tn,且
Sn
Tn
=
2n-3
5n+2
,则
a6
b6
=______.
题型:填空题难度:中档来源:不详

答案

Sn
Tn
=class="stub"2n-3
5n+2
,得
S11
T11
=
11a6
11b6
=class="stub"2×11-3
5×11+2
=class="stub"1
3

所以
a6
b6
=class="stub"1
3

故答案为:class="stub"1
3

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