Definitions for triangular number
tri·an·gu·lar num·ber

WiktionaryRate this definition:1.0 / 1 vote

1. triangular numbernoun

   Any integer that is the sum of n natural numbers from 1 to n.

WikipediaRate this definition:0.0 / 0 votes

1. Triangular number

   A triangular number or triangle number counts objects arranged in an equilateral triangle. Triangular numbers are a type of figurate number, other examples being square numbers and cube numbers. The nth triangular number is the number of dots in the triangular arrangement with n dots on each side, and is equal to the sum of the n natural numbers from 1 to n. The sequence of triangular numbers, starting with the 0th triangular number, is (This sequence is included in the On-Line Encyclopedia of Integer Sequences (sequence A000217 in the OEIS).)

WikidataRate this definition:1.0 / 1 vote

1. Triangular number

   A triangular number or triangle number counts the objects that can form an equilateral triangle, as in the diagram on the right. The nth triangle number is the number of dots composing a triangle with n dots on a side, and is equal to the sum of the n natural numbers from 1 to n. The sequence of triangular numbers, starting at the 0th triangular number, is: The triangle numbers are given by the following explicit formulas: where is a binomial coefficient. It represents the number of distinct pairs that can be selected from n + 1 objects, and it is read aloud as "n plus one choose two". The triangular number Tn solves the handshake problem of counting the number of handshakes if each person in a room with n + 1 people shakes hands once with each person. In other words, the solution to the handshake problem of n people is Tn-1. Triangle numbers are the additive analog of the factorials, which are the products of integers from 1 to n. The number of line segments between closest pairs of dots in the triangle can be represented in terms of the number of dots or with a recurrence relation: In the limit, the ratio between the two numbers, dots and line segments is

How to pronounce triangular number?

1. Alex

   US English

   David

   US English

   Mark

   US English

   Daniel

   British

   Libby

   British

   Mia

   British

   Karen

   Australian

   Hayley

   Australian

   Natasha

   Australian

   Veena

   Indian

   Priya

   Indian

   Neerja

   Indian

   Zira

   US English

   Oliver

   British

   Wendy

   British

   Fred

   US English

   Tessa

   South African

How to say triangular number in sign language?

Numerology

1. Chaldean Numerology

   The numerical value of triangular number in Chaldean Numerology is: 7

2. Pythagorean Numerology

   The numerical value of triangular number in Pythagorean Numerology is: 5

References

1. ^ Wiktionary
   https://en.wiktionary.org/wiki/Triangular_Number
2. ^ Wikipedia
   https://en.wikipedia.org/wiki/Triangular_Number
3. ^ Wikidata
   https://www.wikidata.org/w/index.php?search=triangular number