Sum of Reciprocals of Triangular Numbers
Sum of Reciprocals of Triangular Numbers
The sum of the reciprocals of the triangular numbers is
1
1
1
3
1
6
1
n+1 |
2 |
For each , the area of each colored rectangle in the graphic is .
n
1×-=
2
n
2
n+1
1
n+1 |
2 |