问题
解答题
运用裂项法计算:
|
答案
+1 3
+1 15
+1 35
+1 63
=1 99
×(1-1 2
)+1 3
×(1 2
-1 3
)+1 5
×(1 2
-1 5
)+1 7
×(1 2
-1 7
)+1 9
×(1 2
-1 9
)1 11
=
×(1-1 2
+1 3
-1 3
+1 5
-1 5
+1 7
-1 7
+1 9
-1 9
)1 11
=
×(1-1 2
)1 11
=
×1 2 10 11
=
.5 11