问题
填空题
观察下列各式
|
答案
∵
=21+ 1 3
,1 3
=32+ 1 4
,1 4
=43+ 1 5
…1 5
∴①猜想5
=1 6
,4+ 1 6
=1514+ 1 16
;1 16
②试猜想第n个等式
=(n+1)n+ 1 n+2
.1 n+2
故答案为:①
,4+ 1 6
,②14+ 1 16
=(n+1)n+ 1 n+2
.1 n+2
观察下列各式
|
∵
=21+ 1 3
,1 3
=32+ 1 4
,1 4
=43+ 1 5
…1 5
∴①猜想5
=1 6
,4+ 1 6
=1514+ 1 16
;1 16
②试猜想第n个等式
=(n+1)n+ 1 n+2
.1 n+2
故答案为:①
,4+ 1 6
,②14+ 1 16
=(n+1)n+ 1 n+2
.1 n+2