等差数列{a
n}中,a
1=3,公差d=2,S
n为前n项和,求
++…+.
人气:200 ℃ 时间:2019-08-21 21:07:07
解答
∵等差数列{a
n}的首项a
1=3,公差d=2,
∴前n项和
Sn=na1+d=3n+×2=n2+2n(n∈N*),
∴
===(−),
∴
++…+=
[(1−)+(−)+(−)+…+(−)+(−)]=
−.
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