问题
解答题
观察下列各式: ①
②
③
… (1)请你猜想:
(2)请你写出第10个式子是:______,并写出推导的过程. (3)根据你观察到的规律,请你写出第n个式子是:______. |
答案
(1)
=4+ 1 6
=525 6
,1 6
故答案为:5
;1 6
(2)
=10+ 1 12
=11121 12
,1 12
故答案为:
=1110+ 1 12
;1 12
(3)
=n+ 1 n+2
=n(n+2)+1 n+2
=(n+1)(n+1)2 n+2
,1 n+2
故答案为:
=(n+1)n+ 1 n+2
.1 n+2