设数列an的前n项和为Sn,已知a1=1,(2Sn)⼀n=a(n+1)-1⼀3n^2-n-2⼀3,搜索

2025-04-04 17:26:15
推荐回答(1个)
回答1:

a2=4,方法就是取n=2,S2=a1+a2来算
(2)2Sn=na(n+1)-n^3/3-n^2-2n/3
2an=Sn-S(n-1)
an=n*a(n+1)/n+1-n
an/n=a(n+1)/n+1-1
1=a(n+1)/n+1-an/n
{an/n}成,首项为1,公差为1的等差数列