已知等差數(shù)列{an}與等比數(shù)列{bn}滿足a1=1,a3=5,b2=4,且a2既是a1+b1和b3-a3的等差中項(xiàng),又是其等比中項(xiàng).
(1)求數(shù)列{an}和{bn}的通項(xiàng)公式;
(2)記cn=1anan+2,n=2k-1 an?bn,n=2k
,其中k∈N*,求數(shù)列{cn}的前2n項(xiàng)和S2n.
c
n
=
1 a n a n + 2 , n = 2 k - 1 |
a n ? b n , n = 2 k |
【考點(diǎn)】錯位相減法.
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發(fā)布:2024/9/29 8:0:1組卷:88引用:2難度:0.5
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