两个等差数列{an}和{bn}的前n项和分别为Sn和Tn,若SnTn=7n+3n+3,则a8b8=______.-数学

题目简介

两个等差数列{an}和{bn}的前n项和分别为Sn和Tn,若SnTn=7n+3n+3,则a8b8=______.-数学

题目详情

两个等差数列{an}和{bn}的前n项和分别为Sn和Tn,若
Sn
Tn
=
7n+3
n+3
,则
a8
b8
=______.
题型:填空题难度:中档来源:不详

答案

Sn
Tn
=class="stub"7n+3
n+3

a8
b8
=
2a8
2b8
=
a1+a15
b1+b15
=
class="stub"15
2
(a1+a15)
class="stub"15
2
(b1+b15)

=
S15
T15
=class="stub"7×15+3
15+3
=6
故答案为:6

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