问题
填空题
已知等差数列{an}的前n项和为Sn,且a7=-2,S9=18,则S11=______.
答案
由题意可得S9=
=9(a1+a9) 2
=18,9×2a5 2
解得a5=2,所以a6=
=0,a5+a7 2
故S11=
=9(a1+a11) 2
=09×2a6 2
故答案为:0
已知等差数列{an}的前n项和为Sn,且a7=-2,S9=18,则S11=______.
由题意可得S9=
=9(a1+a9) 2
=18,9×2a5 2
解得a5=2,所以a6=
=0,a5+a7 2
故S11=
=9(a1+a11) 2
=09×2a6 2
故答案为:0