Examples of 'triangular numbers' in a sentence
Meaning of "triangular numbers"
Triangular numbers are a sequence of numbers that can form an equilateral triangle when arranged in a pattern. They are calculated by adding consecutive natural numbers, starting from 1. For example, the sequence 1, 3, 6, 10, 15, ... represents triangular numbers
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- plural of triangular number
How to use "triangular numbers" in a sentence
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triangular numbers
An investigation into triangular numbers provides an answer.
Triangular numbers are numbers of the form.
A concatenation of the first two triangular numbers.
Half of all triangular numbers are also hexagonal numbers.
The solution is involves a sum of triangular numbers.
Triangular numbers can be represented by a triangular array of squares.
Certain integer sequences such as the triangular numbers.
All square triangular numbers are found from the recursion.
The simplest example of this is the sequence of square triangular numbers.
The difference of two positive triangular numbers is a trapezoidal number.
Triangular numbers have a wide variety of relations to other figurate numbers.
Tell the students that these are called the triangular numbers.
Complete the triangular numbers sequence with three more terms.
Is the largest positive integer that is not a sum of distinct triangular numbers.
Identified three pairs of triangular numbers whose sum and difference are also triangular.
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Therefore a triangular based pyramid is based on the sum of the first n triangular numbers.
The first task is to complete the triangular numbers sequence with three more terms.
Triangular Numbers have been well known since ancient times.
All even perfect numbers are triangular numbers whose index is an odd Mersenne prime.
Gauss proved that every nonnegative integer is a sum of 3 triangular numbers.
So the series of triangular numbers begins,.
Gauss proved that every integer is the sum of at most 3 triangular numbers.
Which triangular numbers are also squares?
The Third Diagonal contains the triangular numbers.
The last 3 triangular numbers can be graphically demonstrated as following.
The formula for the triangular numbers is,.
Each centered triangular number from 10 onwards is the sum of three consecutive regular triangular numbers.
The sum of two consecutive triangular numbers is always a square,.
Every 4th power greater than 1, is the sum of two triangular numbers.
Is divisible by the first 5 triangular numbers and the first 4 tetrahedral numbers.
For example, the centered square numbers are four times the triangular numbers plus 1.
And both the triangular numbers and the tetrahedral numbers are on Pascal 's Triangle.
The function that generates triangular numbers is,.
There exist triangular numbers that are also square at cut-the-knot.
All hexagonal numbers are triangular, but not all triangular numbers are hexagonal.
Triangular numbers correspond to the first-degree case of Faulhaber 's formula.
Description, An introduction to triangular numbers.
The " n " th tetrahedral number is the sum of the first " n " triangular numbers.
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