问题
选择题
已知等差数列{an}的前n项和Sn,且S2n-S2n-1+a2=424,n∈N*,则an+1等于( )
A.125
B.168
C.202
D.212
答案
∵等差数列{an}的前n项和Sn,且S2n-S2n-1+a2=424,n∈N*,则 a2n+a2=424,
再由等差数列的性质可得 2an+1 =a2n+a2=424,
∴an+1 =212,
故选D.
已知等差数列{an}的前n项和Sn,且S2n-S2n-1+a2=424,n∈N*,则an+1等于( )
A.125
B.168
C.202
D.212
∵等差数列{an}的前n项和Sn,且S2n-S2n-1+a2=424,n∈N*,则 a2n+a2=424,
再由等差数列的性质可得 2an+1 =a2n+a2=424,
∴an+1 =212,
故选D.