知数列{an}的前n项和sn=n2(2二次方)+10n,数列bn(小n)=|an|求数列{bn}的通项公式
人气:364 ℃ 时间:2020-05-12 12:04:00
解答
因为S(n) = n^2 + 10nS(n+1) = (n+1)^2 + 10(n+1)= n^2 + 2n + 1 + 10n + 10= n^2 + 12n + 11a(n+1) = S(n+1) - S(n)= n^2 + 12n + 11 - n^2 - 10n= 2n + 11= 2(n + 1) + 9所以a(n) = 2n + 9又因为 b(n) = |a(n)|所...
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