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已知两个等差数列{an}{bn},其前n项的和分别为Sn和Tn,且Sn/Tn=7n+2/n+3,求求(1)a2+a20/b7+b15(2)a1+a12+a14/b3+b7+b17(3)a2+a5+a17+a22/b8+b10+b12+b16

题目详情
已知两个等差数列{an}{bn},其前n项的和分别为Sn和Tn,且Sn/Tn=7n+2/n+3,求
求(1)a2+a20/b7+b15
(2)a1+a12+a14/b3+b7+b17
(3)a2+a5+a17+a22/b8+b10+b12+b16
▼优质解答
答案和解析
(1)a2+a20/b7+b15
=2a11/2b11
=S11/T11
=79/14
(2)a1+a12+a14/b3+b7+b17
=(a1+2a13)/(2b5+b17)
=(2a7+a13)/(b5+2b11)
=(a7+2a10)/(2b8+b11)
=(a8+a9+a10)/(b8+b9+b10)
=3a9/3b9
=S9/T9
=65/12
(3)a2+a5+a17+a22/b8+b10+b12+b16
=(2a12+2a11)(2b12+2b11)
=S22/T22
=156/25