AnswersDrive0, 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, 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 –
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 xn = xn-1 + xn-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 hn 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.