已知{an}为等差数列,a1+a3+a5=105 ,a2+a4+a9=99,则a20=

问题描述:

已知{an}为等差数列,a1+a3+a5=105 ,a2+a4+a9=99,则a20=

a1+a3+a5=105 ,a2+a4+a9=99,
a2+a4+a9-(a1+a3+a5)=99-105=-6
=d+d+4d
=6d
d=-1
a1=(105-6d)÷3=37
a20=a1+19d
=37-19
=18