已知{an}是公差為d的等差數(shù)列,bn=1/n(a1+a2+……an),數(shù)列{an}、{bn}的前n項和分別是Sn、Tn,若S25-T25
已知{an}是公差為d的等差數(shù)列,bn=1/n(a1+a2+……an),數(shù)列{an}、{bn}的前n項和分別是Sn、Tn,若S25-T25
數(shù)學人氣:487 ℃時間:2020-04-10 18:08:50
優(yōu)質(zhì)解答
題目不完整啊!
bn=1/n(a1+a2+...+an)
=1/n *(a1+an)n/2
=(a1+an)/2
=a1+(n-1)d/2
設cn=an-bn=(1-n)d/2=d/2-nd/2
S25-T25=c1+c2+...+c25
=25*d/2-(1+2+..+25)d/2
=-(1+2+...+24)d/2
=-150d∈(0,1),
-1/150