来自江卫民的问题
等差数列的前n项和为Sn,若a10=5,则S19为多少?
等差数列的前n项和为Sn,若a10=5,则S19为多少?
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2020-04-05 14:37
等差数列的前n项和为Sn,若a10=5,则S19为多少?
等差数列的前n项和为Sn,若a10=5,则S19为多少?
设首项a1,公差d
a10=a1+9d=5
a19=a1+18d
S19=(a1+a19)*19/2=(a1+a1+18d)*19/2
=19*(a1+9d)=19a10=95