已知等差数列{an}和{bn},若a1=1,b1=3,a2+b2=10,求a37+b37=?

题目

已知等差数列{an}和{bn},若a1=1,b1=3,a2+b2=10,求a37+b37=?
求解析过程和思路

答案

a1=1,b1=3,
a2+b2=a1+b1+da+db=10;
da+db=6
a37+b37
=a1+b1+36(da+db)
=4+36*6
=220