数列{an}中an=(-1)^n+1*(4n-3)其前n项和为sn,则S22-S11=?

问题描述:

数列{an}中an=(-1)^n+1*(4n-3)其前n项和为sn,则S22-S11=?

S22-S11
=a12+a13+a14+a15+a16+a17+a18+a19+a20+a21+a22
=a12+(a13+a14)+(a15+a16)+(a17+a18)+(a19+a20)+(a21+a22)
= -45+ 4+4+4+4+4
=-45+20
=-25