Sn为等差数列{An}的前n项和,若S5=10,S10=-5,求Sn.
人气:129 ℃ 时间:2020-03-29 14:42:08
解答
设等差数列的第一项为a1,公差为d,则Sn=na1﹢n(n-1)d/2
S5=5a1﹢5(5-1)d/2=5a1﹢10d=10
S10=10a1﹢10(10-1)d/2=10a1﹢45d=-5
d=-1,a1=4
Sn=4n+n(n-1)x(-1)/2
=4n-(n²-n)/2
=(9n-n²)/2
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