等差数列,a6=a3+a8,则,a1+a9=?
问题描述:
等差数列,a6=a3+a8,则,a1+a9=?
怎么算呀...
答
d为等差数列的公差,a6=a1+5d,a3=a1+2d,a8=a1+7d,所以(a1+5d)=(a1+2d)+(a1+7d),得出a1=-4d.
所以a1+a9=a1+(a1+8d),将a1=-4d代入,得a1+a9=-4d-4d+8d=0