题目内容
(2+
)+(4+
)+…+(2n+
)=______.
| 1 |
| 2 |
| 1 |
| 4 |
| 1 |
| 2n |
(2+
)+(4+
)+…+(2n+
)
=2(1+2+…+n)+(
+
+…+
)
=2×
+
=n2+n+1-
.
故答案为:n2+n+1-
.
| 1 |
| 2 |
| 1 |
| 4 |
| 1 |
| 2n |
=2(1+2+…+n)+(
| 1 |
| 2 |
| 1 |
| 4 |
| 1 |
| 2n |
=2×
| n(n+1) |
| 2 |
| ||||
1-
|
=n2+n+1-
| 1 |
| 2n |
故答案为:n2+n+1-
| 1 |
| 2n |
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