问题
选择题
设等差数列{an}的前n项和为Sn,若Sm-1=-2,Sm=0,Sm+1=3,则m=( )
A.3
B.4
C.5
D.6
答案
答案:C
∵{an}是等差数列,Sm-1=-2,Sm=0,∴am=Sm-Sm-1=2.
∵Sm+1=3,∴am+1=Sm+1-Sm=3,∴d=am+1-am=1.
又Sm==0,∴a1=-2,∴am=-2+(m-1)·1=2,∴m=5.
设等差数列{an}的前n项和为Sn,若Sm-1=-2,Sm=0,Sm+1=3,则m=( )
A.3
B.4
C.5
D.6
答案:C
∵{an}是等差数列,Sm-1=-2,Sm=0,∴am=Sm-Sm-1=2.
∵Sm+1=3,∴am+1=Sm+1-Sm=3,∴d=am+1-am=1.
又Sm==0,∴a1=-2,∴am=-2+(m-1)·1=2,∴m=5.