问题
解答题
计算:
|
答案
+1 2
+1 3
+2 3
+1 4
+2 4
+3 4
+1 5
+2 5
+…+3 5
+1 100
+…+2 100 99 100
=
+(1 2
+1 3
)+(2 3
+1 4
+2 4
)+…+(3 4
+1 100
+…+2 100
)99 100
=
+1 2
•1 3
+(1+2)×2 2 1 4
+…+(1+3)×2 2
•1 100 (1+99)×99 2
=
+1 2
+2 2
+3 2
+…+4 2 99 2
=
•1 2 (1+99)×99 2
=2475.