1/2+5/6+11/12+19/20+29/30+…+9701/9702+9899/9900.
问题描述:
+1 2
+5 6
+11 12
+19 20
+…+29 30
+9701 9702
. 9899 9900
答
12+56+1112+1920+2930+…+97019702+98999900=(1-12)+(1-16)+(1-112)+…+(1-19900)=1×99-(12+16+112+…+19900),=99-(11×2+12×3+13×4…+199×100),=99-(1-12+12-13+13−14+…+199-1100),=99-(1-...