题目内容
观察下列算式,完成后面题目:
=
-
=
-
=
-
(1)
=______;
(2)计算:
+
+
+…+
.
| 1 |
| 1×2 |
| 1 |
| 1 |
| 1 |
| 2 |
| 1 |
| 2×3 |
| 1 |
| 2 |
| 1 |
| 3 |
| 1 |
| 3×4 |
| 1 |
| 3 |
| 1 |
| 4 |
(1)
| 1 |
| n×(n+1) |
(2)计算:
| 1 |
| 1×2 |
| 1 |
| 2×3 |
| 1 |
| 3×4 |
| 1 |
| 2007×2008 |
(1)
-
;
(2)原式=(1-
)+(
-
)+…+(
-
)
=1-
=
.
| 1 |
| n |
| 1 |
| n+1 |
(2)原式=(1-
| 1 |
| 2 |
| 1 |
| 2 |
| 1 |
| 3 |
| 1 |
| 2007 |
| 1 |
| 2008 |
=1-
| 1 |
| 2008 |
| 2007 |
| 2008 |
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