a(1)=(1+2)/(3×1+2)=3/5;a(2)=(2+2)/(3×2+2)=1/2;a(3)=(3+2)/(3×3+2)=5/11;a(4)=(4+2)/(3×4+2)=3/7;a(5)=(5+2)/(3×5+2)=7/17。综上所述,其规律为a(n)=(n+2)/(3n+2)。
2n+1/3n+2 (提示 把1/2 3/7 分别化为 4/8 4/16)