已知数列{an}:1/2,1/3+2/3,1/4+2/4+3/4,1/5+2/5+3/5+4/5,…,那么数列{bn}={1/ana(n+1)}前n项的和A,4[1-1/(n+1)] B,4[1/2-1/(n+1)] C,1-1/(n+1) D,1/2-1/(n+1)

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已知数列{an}:1/2,1/3+2/3,1/4+2/4+3/4,1/5+2/5+3/5+4/5,…,那么数列{bn}={1/ana(n+1)}前n项的和A,4[1-1/(n+1)] B,4[1/2-1/(n+1)] C,1-1/(n+1) D,1/2-1/(n+1)
已知数列{an}:1/2,1/3+2/3,1/4+2/4+3/4,1/5+2/5+3/5+4/5,…,那么数列{bn}={1/ana(n+1)}前n项的和
A,4[1-1/(n+1)] B,4[1/2-1/(n+1)] C,1-1/(n+1) D,1/2-1/(n+1)

已知数列{an}:1/2,1/3+2/3,1/4+2/4+3/4,1/5+2/5+3/5+4/5,…,那么数列{bn}={1/ana(n+1)}前n项的和A,4[1-1/(n+1)] B,4[1/2-1/(n+1)] C,1-1/(n+1) D,1/2-1/(n+1)
an=1/(n+1)+ 2/(n+1) +3/(n+1) +……n/(n+1)=1/(n+1)[n(n+1)/2]
=n/2.
bn=1/[ana(n+1)]=4/[n(n+1)]=4[1/n-1/(n+1)]
数列{bn}的前n项和为:b1+b2+b3+……+bn
=4[1-1/2+1/2-1/3+1/3-1/4+……+1/n-1/(n+1)]
=4[1-1/(n+1)]=4n/(n+1).
选A.