0, 1, 3, 6, 10, 15, 21, 28, 36, 45, 55, 66, 78, 91, 105, 120, 136, 153, 171, 190, 210, 231, 253, 276, 300, 325, 351, 378, 406, 435, 465, 496, 528, 561, 595, 630, 666

What is a triangular number 100?

Triangular Numbers

So the hundredth triangular number is: | 100 101 | = 5050 |
---|---|---|

2 |

1

## What is the triangular number for 100?

The

**triangular numbers**up to**100**are 1, 3, 6, 10, 15, 21, 28, 36, 45, 55, 66, 78, 91 -- so what's next? Perfect**Numbers**These are the**numbers**which equal the sum of all of their smaller factors.2

## What is the triangular sequence?

**Triangular**Number

**Sequence**. This is the

**Triangular**Number

**Sequence**: 1, 3, 6, 10, 15, 21, 28, 36, 45, This

**sequence**comes from a pattern of dots that form a

**triangle**: By adding another row of dots and counting all the dots we can.

3

## What is the formula for finding triangular numbers?

**Triangular numbers**are a pattern of

**numbers**that form equilateral triangles. The

**formula for calculating**the nth

**triangular number**is: T = (n)(n + 1) / 2.

4

## What are the first 10 triangular numbers?

The first ten triangular numbers are –

1,

You can calculate triangular numbers by adding up consecutive numbers. For example, the eighth triangular number is equal to –

1,

**3**,**6**, 10,**15**,**21**,**28**,**36**,**45**,**55**.You can calculate triangular numbers by adding up consecutive numbers. For example, the eighth triangular number is equal to –

5

## What is the perfect number?

In

**number**theory, a**perfect number**is a positive integer that is equal to the sum of its proper positive divisors, that is, the sum of its positive divisors excluding the**number**itself (also known as its aliquot sum).6

## What are the cube numbers?

Cube Numbers List

Number | Cube | |
---|---|---|

5 | 125 | =5 × 5 × 5 |

6 | 216 | =6 × 6 × 6 |

7 | 343 | =7 × 7 × 7 |

8 | 512 | =8 × 8 × 8 |

7

## What is a rectangular number?

**Rectangular numbers**are special

**numbers**that can be shown by making the shape of a rectangle using an array, which is objects placed in an arranged order using rows and columns. However, 4 is the only even

**number**that cannot form a

**rectangular**shape because it forms a square with an array of 2 rows by 2 columns.

8

## What are the square numbers from 1 to 100?

Informally: When you multiply a whole number times itself, the resulting product is called a square number, or a perfect square or simply "a square." So 1,

**4**,**9**,**16**,**25**,**36**,**49**,**64**,**81**, 100,**121**,**144**, and so on, are all square numbers.9

## What is meant by square number?

In mathematics, a

**square number**or perfect**square**is an integer that is the**square**of an integer; in other words, it is the product of some integer with itself. For example, 9 is a**square number**, since it can be written as 3 × 3.**Square numbers**are non-negative.10

## What is the Fibonacci sequence?

The Fibonacci sequence is a series of numbers where a number is found by

**adding**up the two numbers before it. Starting with 0 and 1, the sequence goes 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, and so forth. Written as a rule, the expression is x_{n}= x_{n}_{-}_{1}+ x_{n}_{-}_{2}.11

## Is the number 24 a perfect square?

Since 102.01 is a rational number and the

**square**root of 102.01 is a rational number (10.1), 102.01 is a**perfect square**.**24**is a natural number, but since there is no other natural number that can be**squared**to result in the number**24**,**24**is NOT a**perfect square**.12

## Is there a perfect square for 50?

**50**is not the

**perfect square**of an integer or rational number. It is a

**square**of an irrational, algebraic, real number, namely 5√2 , therefore you could call it a

**perfect square**in the context of the algebraic numbers.

13

## What is a cube of a number?

A

**cube number**is a**number**that is the product of three**numbers**which are the same. In other words, if you multiply a**number**by itself and then by itself again, the result is a**cube number**. This diagram makes this concept clearer:**Cube numbers**can be represented visually as 3D cubes of single, unit cubes.14

## Is the number 12 a square number?

Square Numbers List

Number | Square | |
---|---|---|

9 | 81 | =9 × 9 |

10 | 100 | =10 × 10 |

11 | 121 | =11 × 11 |

12 | 144 | =12 × 12 |

15

## What are the tetrahedral numbers?

A

**tetrahedral number**, or triangular pyramidal**number**, is a figurate**number**that represents a pyramid with a triangular base and three sides, called a**tetrahedron**. The nth**tetrahedral number**is the sum of the first n triangular**numbers**.16

## What is a hexagonal number?

A

**hexagonal number**is a figurate**number**. The nth**hexagonal number**h_{n}is the**number**of distinct dots in a pattern of dots consisting of the outlines of regular**hexagons**with sides up to n dots, when the**hexagons**are overlaid so that they share one vertex.17

## What is a cube a number?

**Cube numbers**are formed by multiplying a digit by itself three times. For example 2

**cubed**is 2 × 2 × 2 = 8. 3

**cubed**is 3 × 3 × 3 = 27. 4

**cubed**is 4 × 4 × 4 = 64. Each

**cube number**can be represented by a

**cube**made up of unit

**cubes**.

18

## What is the cubic number?

A

**cubic number**is a figurate**number**of the form with a positive integer. The first few are 1, 8, 27, 64, 125, 216, 343, (OEIS A000578).19

## What is the first 6 square numbers?

Square Numbers List

Number | Square | |
---|---|---|

3 | 9 | =3 × 3 |

4 | 16 | =4 × 4 |

5 | 25 | =5 × 5 |

6 | 36 | =6 × 6 |

20

## What is a pentagonal number?

A

**pentagonal number**is a figurate**number**that extends the concept of triangular and square**numbers**to the pentagon, but, unlike the first two, the patterns involved in the construction of**pentagonal numbers**are not rotationally symmetrical. The nth**pentagonal number**is one third of the 3n-1th triangular**number**.