1/6×7+1/7×8+1/8×9+…+1/100×101=_.
问题描述:
+1 6×7
+1 7×8
+…+1 8×9
=______. 1 100×101
答
+1 6×7
+1 7×8
+…+1 8×9
,1 100×101
=(
−1 6
)+(1 7
-1 7
)+(1 8
-1 8
)+…+(1 9
-1 100
),1 101
=
-1 6
,1 101
=
;95 606
故答案为:
.95 606