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Sum of Reciprocals of Triangular Numbers
The sum of the reciprocals of the triangular numbers is
.
For each
, the area of each colored rectangle in the graphic is
.
Contributed by:
Soledad Mª Sáez Martínez
and
Félix Martínez de la Rosa
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Reference: R. B. Nelsen, "Proof without Words: Sum of Reciprocals of Triangular Numbers,"
Mathematics Magazine
,
64
(3), 1991 p.167.
RELATED LINKS
Triangular Number
(
Wolfram
MathWorld
)
PERMANENT CITATION
"
Sum of Reciprocals of Triangular Numbers
" from
the Wolfram Demonstrations Project
http://demonstrations.wolfram.com/SumOfReciprocalsOfTriangularNumbers/
Contributed by:
Soledad Mª Sáez Martínez
and
Félix Martínez de la Rosa
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