Add to ORKGTriangular numbers, series, infinit sum, reciprocals of triangular numbers, areaThe sum of the reciprocals of the triangular numbers is 1/1 + 1/3 + 1/6 + ... + 1/(n+1 2) + ... = 2. For each n, the area of each colored rectangle in the graphic is 1. (2/n – 2/(n+1)) = 1/ (n+1 2)Componente Curricular::Educação Superior::Ciências Exatas e da Terra::Matemátic
Abstract. In this survey article we discuss the problem of determining the number of representations...
Knowledge about polyhedra and volumeThis shows how to find the volume V of a triangular prism with b...
The triangular numbers are the integers m(m + 1)/2, m = 0, 1, 2, . . . . For a positive integer k, w...
Triangular numbers, series, infinit sum, reciprocals of triangular numbers, areaThe sum of the recip...
Let ABC be a triangle with inradius r. Let r_A, r_B, and r_C be the exradii of the excircles opposit...
Triangular numbers are integers of the form (n²+n)/2; they are 0, 1, 3, 6, 10, 15, 21, 28, …. As a t...
The graphic is a visual proof that 1+2+3+...+n=(n(n+1))/2 for any positive integer nComponente Curri...
Let ABC be a triangle. Let A'A'', B'B'', and C'C'' be tangents to the incircle of ABC and parallel t...
Knowledge about historical mathematics, nested patterns, number theory and representations of number...
Series, Calculus and Analytic GeometryA series of squares are aligned along the diagonal of a unit s...
A triangular number is a number N that satisfies that N dots can be arranged in increasing order to ...
In words, the square of a sum is the sum of the squares plus twice the cross term. You can see a geo...
If a triangle has inradius r and altitudes α, β, and γ, then 1/r= 1/α + 1/β +1/γComponente Curricula...
For any two numbers a and b the square of their sum (a+b)² is equal to a² + 2ab + b². You can see a ...
Seies, geometric seriesA geometric series is an infinite sum of the form r+r^2+r^3+… (often the seri...
Abstract. In this survey article we discuss the problem of determining the number of representations...
Knowledge about polyhedra and volumeThis shows how to find the volume V of a triangular prism with b...
The triangular numbers are the integers m(m + 1)/2, m = 0, 1, 2, . . . . For a positive integer k, w...
Triangular numbers, series, infinit sum, reciprocals of triangular numbers, areaThe sum of the recip...
Let ABC be a triangle with inradius r. Let r_A, r_B, and r_C be the exradii of the excircles opposit...
Triangular numbers are integers of the form (n²+n)/2; they are 0, 1, 3, 6, 10, 15, 21, 28, …. As a t...
The graphic is a visual proof that 1+2+3+...+n=(n(n+1))/2 for any positive integer nComponente Curri...
Let ABC be a triangle. Let A'A'', B'B'', and C'C'' be tangents to the incircle of ABC and parallel t...
Knowledge about historical mathematics, nested patterns, number theory and representations of number...
Series, Calculus and Analytic GeometryA series of squares are aligned along the diagonal of a unit s...
A triangular number is a number N that satisfies that N dots can be arranged in increasing order to ...
In words, the square of a sum is the sum of the squares plus twice the cross term. You can see a geo...
If a triangle has inradius r and altitudes α, β, and γ, then 1/r= 1/α + 1/β +1/γComponente Curricula...
For any two numbers a and b the square of their sum (a+b)² is equal to a² + 2ab + b². You can see a ...
Seies, geometric seriesA geometric series is an infinite sum of the form r+r^2+r^3+… (often the seri...
Abstract. In this survey article we discuss the problem of determining the number of representations...
Knowledge about polyhedra and volumeThis shows how to find the volume V of a triangular prism with b...
The triangular numbers are the integers m(m + 1)/2, m = 0, 1, 2, . . . . For a positive integer k, w...