问题
填空题
等差数列{an}满足:a3=7,a5+a7=26,则a1=______d=______an=______Sn=______.
答案
设等差数列{an}的公差为d,
则
,a3=a1+2d=7 a5+a7=2a1+10d=26
解得
,a1=3 d=2
故an=3+2(n-1)=2n+1,
Sn=
=n2+2nn(3+2n+1) 2
故答案为:3;2;2n+1;n2+2n
等差数列{an}满足:a3=7,a5+a7=26,则a1=______d=______an=______Sn=______.
设等差数列{an}的公差为d,
则
,a3=a1+2d=7 a5+a7=2a1+10d=26
解得
,a1=3 d=2
故an=3+2(n-1)=2n+1,
Sn=
=n2+2nn(3+2n+1) 2
故答案为:3;2;2n+1;n2+2n