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设等差数列{an}与{bn}的前n项之和分别为SnSn,若
Sn
Sn
7n+2
n+3
,则
a7
b7
=______.
人气:127 ℃ 时间:2020-04-03 21:10:38
解答
∵{an}为等差数列,其前n项之和为Sn,∴S2n-1=(2n−1)(a1+a2n−1)2=(2n−1)×2an2=(2n-1)•an,同理可得,S′2n-1=(2n-1)•bn,∴anbn=S2n−1S2n−1′,又SnS′n=7n+2n+3,∴S2n−1S′2n−1=7(2n−1)+2(2n−1)+3...
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