问题
解答题
观察下列各式
(1)第4个等式是:______; (2)试猜想第n个等式为:______; (3)证明(2)中你猜想的结论. |
答案
(1)
=54+ 1 6
;1 6
(2)
=(n+1)n+ 1 n+2
;1 n+2
(3)证明:n+ 1 n+2
=(n+1)2 n+2
=(n+1)
.1 n+2
观察下列各式
(1)第4个等式是:______; (2)试猜想第n个等式为:______; (3)证明(2)中你猜想的结论. |
(1)
=54+ 1 6
;1 6
(2)
=(n+1)n+ 1 n+2
;1 n+2
(3)证明:n+ 1 n+2
=(n+1)2 n+2
=(n+1)
.1 n+2