问题 填空题
已知等差数列{an}、{bn}的前n项和分别为Sn、Tn,若
Sn
Tn
=
3n+15
5n+7
,则
a9
b9
=______.
答案

∵在等差数列中S2n-1=(2n-1)•an

a9=

S17
17
b9=
T17
17

a9
b9
=
S17
T17

又∵

Sn
Tn
=
3n+15
5n+7

a9
b9
=
S17
T17
=
3×17+15
5×17+7
=
33
46

故答案为:

33
46

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