(1){(204+1998)*[(1998-204)÷3+1]}÷2=659499
等差求和:(首项+末项)×个数÷2
(2)1/10*12+1/12*14+1/14*16+1/16*18
=6/5+7/6+8/7+9/9/8
=4+(1/5+1/6+1/7+1/8)
方法一:通分
答案:3373/840
方法二:设n=6
则 1/5+1/6+1/7+1/8 等价于1/(n-1)+1/n+1/(n+1)+1/(n+2)
=【1/(n-1)+1/(n+1)】+1/n+1/(n+2)
=1/(n^2-1)+(2n+2)/(n^2+2n)
=[n^2+2n+n(n+1)^2(n-1)]/(n^2-1)n(n+2)
带入即可(高中方法,不简便)