问题
解答题
阅读下面问题:
试求:(1)
(2)利用上面所揭示的规律计算:(
|
答案
(1)
=1
+n+1 n
=
-n+1 n (
+n+1
)(n
-n+1
)n
-n+1
;n
故答案为:
-n+1
.n
(2)(
+1 1+ 2
+1
+2 3
+…+1
+3 4
+1
+2012 2013
)×(1
+2013 2014
+1),2014
=(
-1+2
-3
+2
-4
+…+3
-2013
+2012
-2014
)×(2013
+1),2014
=(
-1)×(2014
+1),2014
=2014-1,
=2013.