问题
解答题
如果
|
答案
+1 2
+1 6
+…+1 12 1 n(n+1)
=1-
+1 2
-1 2
+1 3
-1 3
+…+1 4
-1 n 1 n+1
=1-1 n+1
=n n+1
所以,
=n n+1 2011 2012
2012n=2011n+2011
n=2011
故答案为:2011.
如果
|
+1 2
+1 6
+…+1 12 1 n(n+1)
=1-
+1 2
-1 2
+1 3
-1 3
+…+1 4
-1 n 1 n+1
=1-1 n+1
=n n+1
所以,
=n n+1 2011 2012
2012n=2011n+2011
n=2011
故答案为:2011.