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求数列5,8,11,16,17,24,23,...前50项的和
人气:496 ℃ 时间:2020-04-20 04:24:58
解答
5,8,11,16,17,24,23设{An}=5,11,17,23,...,5+6(n-1){Bn}=8,16,24,...,8*n 原数列和Sn=S(A25)+S(B25)=[25*5+25*(25-1)*6/2]+8(1+2+3+...+25)=4525 ++++++++++++++++设k=n/2Sn=k*5+k(k+1)*6/2+8*k(k+1)/2 =7k^2+6k=(7n...
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