1−5/6+7/12−9/20+11/30−13/42+15/56−17/72+19/90=_.
问题描述:
1−
+5 6
−7 12
+9 20
−11 30
+13 42
−15 56
+17 72
=______. 19 90
答
1-
+5 6
-7 12
+9 20
-11 30
+13 42
−15 56
+17 72
,19 90
=1-(
+1 2
)+(1 3
+1 3
)-(1 4
+1 4
)+(1 5
+1 5
)+(1 6
+1 6
)-(1 7
+1 7
)+(1 8
+1 8
)-(1 9
−1 9
),1 10
=1-
+1 2
,1 10
=
+1 2
,1 10
=
.3 5
故答案为:
.3 5