高一数学。数列题。
两个数列{an},{bn}都为等差数列,前n项和之比为(3n+5)/(2n-3),求a6/b6。 谢谢饿。*^_^*
an=a+(n-1)c,bn=b+(n-1)d, Sn=a1+..+an=na+c(n-1)n/2 Tn=b1+..+bn=nb+d(n-1)n/2 (Sn)/(Tn)=(na+c(n-1)n/2)(nb+d(n-1)n/2)= =(c/d)(n+2a/c-1)/(n+2b/d-1)=(3/2)(n+5/3)/(n-3/2) 得c/d=3/2,2a/c-1=5/3,2b/d-1=-3/2, a/c=4/3,b/d=-1/4, a6/b6=(a+5c)/(b+5d)=(c/d)*(5+a/c)/(5+b/d)= =(3/2)*(5+4/3)/(5-1/4)=22/19。
答:设数列{an}首项为a1,公差为d, 所以b1=(1/2)^a1,b2=(1/2)^(a1+d),b3=(1/2)^(a1+2d), 所以(1/2)^(3a1+...详情>>
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