{an},{bn}是两个等差数列,其前n项和分别为Sn和Tn,且Sn⼀Tn=(7n+2)⼀(n+3),求a5⼀a6

2024-11-23 07:48:22
推荐回答(1个)
回答1:

∵{an},{bn}是两个等差数列
Sn/Tn=(7n+2)/(n+3)
∴[n/2(a1+an)]/[n/2(b1+bn)]=(7n+2)/(n+3)
∴(a1+an)/(b1+bn)=(7n+2)/(n+3)
∴a5/b5=(2a5)/(2b5)=(a1+a9)/(b1+b9)
=(7×9+2)/(9+3)=65/12
求a5/a6缺条件: