1、单击此处编辑母版标题样式,单击此处编辑母版文本样式,第二级,第三级,第四级,第五级,*,等差数列前,n,项和性质(,1,),一.知识点回顾,1.,等差数列的前,n,项和公式:,等差数列前,n,项和的性质(,1,),3,已知数列,a,n,的前,n,项和为,S,n,,且,lg(,S,n,1),n,1,,求,通项公式,解:,因为,lg(,S,n,1),n,1,,,所以,S,n,1,10,n,1,.,即,S,n,10,n,1,1.,当,n,1,时,,a,1,S,1,10,2,1,99,,,当,n,2,时,,等差数列,前,n,项和的性质(,2,),例,2.,在等差数列,a,n,中,,S,10,100,,
2、S,100,10.,求,S,110,.,例,2.,在等差数列,a,n,中,,S,10,100,,,S,100,10.,求,S,110,.,例,2.,在等差数列,a,n,中,,S,10,100,,,S,100,10.,求,S,110,.,等差数列前,n,项和的性质(,3,),例,1.,在等差数列,a,n,中,已知公差,d=1/2,且,a,1,+,a,3,+,a,5,+,a,99,=60,a,2,+,a,4,+,a,6,+,a,100,=(),A.85 B.145 C.110 D.90,A,变式:一个等差数列的前,12,项的和为,354,其中项数为偶数的项的和与项数为奇数的项的和之比为,32:27,则公差为,.,5,