题目内容
(1)
+
+
+…+
(2)1×2+2×3+3×4+4×5+5×6+6×7.
| 1 |
| 1×2 |
| 1 |
| 2×3 |
| 1 |
| 3×4 |
| 1 |
| 9×10 |
(2)1×2+2×3+3×4+4×5+5×6+6×7.
(1)
+
+
+…+
,
=1-
+
-
+
-
+…
-
,
=1-
,
=
;
(2)1×2+2×3+3×4+4×5+5×6+6×7,
=2+6+12+20+30+42,
=(2+6+12)+(20+30)+42,
=20+50+42,
=112.
| 1 |
| 1×2 |
| 1 |
| 2×3 |
| 1 |
| 3×4 |
| 1 |
| 9×10 |
=1-
| 1 |
| 2 |
| 1 |
| 2 |
| 1 |
| 3 |
| 1 |
| 3 |
| 1 |
| 4 |
| 1 |
| 9 |
| 1 |
| 10 |
=1-
| 1 |
| 10 |
=
| 9 |
| 10 |
(2)1×2+2×3+3×4+4×5+5×6+6×7,
=2+6+12+20+30+42,
=(2+6+12)+(20+30)+42,
=20+50+42,
=112.
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