题目内容

计算:
1
1×3
+
1
3×5
+
1
5×7
+…+
1
1993×1995
+
1
1995×1997
2
m×3
=
m
m
-
m
3

2
3×5
=
m
3
-
m
5

2
5×7
=
m
5
-
m
7


2
m993×m995
=
m
m993
-
m
m995

2
m995×m997
=
m
m995
-
m
m997

所以:
m
m×3
+
m
3×5
+
m
5×7
+…+
m
m993×m995
+
m
m995×m997

=
m
2
×(
2
m×3
+
2
3×5
+
2
5×7
+…+
2
m993×m995
+
2
m995×m997

=
m
2
×(
m
m
-
m
3
+
m
3
-
m
5
+
…+
m
m993
-
m
m995
+
m
m995
-
m
m997

=
m
2
×(
m
m
-
m
m997

=
m
2
×
m996
m997

=
996
m997
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