Triangular Numbers Calculator
About Triangular Numbers
A triangular number is a number that can form an equilateral triangle.
Formula: T(n) = n(n + 1)/2
Examples:
T(1) = 1
T(2) = 3
T(3) = 6
T(4) = 10
Examples:
T(1) = 1
T(2) = 3
T(3) = 6
T(4) = 10
Properties:
- Each triangular number represents the sum of consecutive integers
- Can be represented as dots forming a triangle
- Used in combinatorics and geometry
- Related to square numbers and pentagonal numbers
Applications:
- Combinatorial problems
- Geometric patterns
- Number theory
- Game theory
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