问题
填空题
设等差数列{an}的公差d为-2,前n项和为Sn,则
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答案
因为等差数列{an}的公差d为-2,前n项和为Sn,an=a1-2(n-1),
Sn=na1+
×(-2)n(n-1) 2
∴lim n→∞
=
-n2a 2n Sn lim n→∞
=(a1-2(n-1))2-n2 na1+
×(-2)n(n-1) 2 lim n→∞
=-3.3n2 -n2
故答案为:-3.
设等差数列{an}的公差d为-2,前n项和为Sn,则
|
因为等差数列{an}的公差d为-2,前n项和为Sn,an=a1-2(n-1),
Sn=na1+
×(-2)n(n-1) 2
∴lim n→∞
=
-n2a 2n Sn lim n→∞
=(a1-2(n-1))2-n2 na1+
×(-2)n(n-1) 2 lim n→∞
=-3.3n2 -n2
故答案为:-3.