问题
填空题
若n为正整数,观察下列各式:
|
答案
原式=
(1-1 2
)+1 3
(1 2
-1 3
)+1 5
(1 2
-1 5
)+…+1 7
(1 2
-1 19
)1 21
=
(1-1 2
+1 3
-1 3
+1 5
-1 5
+…+1 7
-1 19
)1 21
=
(1-1 2
)1 21
=
×1 2 20 21
=
.10 21
故答案为
.10 21