nth term
The rule that generates the sequence is Un = 9 + 2n (for n = 1, 2, ...
1, 4, 7, 10, 13, …
The numbers in a sequence are called terms. Each term represents a specific position within the sequence, and they can follow a particular pattern or rule. For example, in the sequence of even numbers (2, 4, 6, 8), each number is a term that adheres to the rule of being an even integer.
2m+1
It is the counter that tells you the position of the numbers in the sequence: the first, second and so on.
The rule that generates the sequence is Un = 9 + 2n (for n = 1, 2, ...
1, 4, 7, 10, 13, …
The numbers in a sequence are called terms. Each term represents a specific position within the sequence, and they can follow a particular pattern or rule. For example, in the sequence of even numbers (2, 4, 6, 8), each number is a term that adheres to the rule of being an even integer.
2m+1
It is a sequence of numbers that represents how many spheres you would have in a pyramid of different heights.
It is the counter that tells you the position of the numbers in the sequence: the first, second and so on.
Dodging numbers may be missing numbers in a sequence. For example, the underscore in the following sequence represents such a number: 2, 4, _ , 8, 10.
The sequence 1, 8, 27, 64 represents the cubes of the natural numbers 1, 2, 3, and 4 respectively. In mathematical terms, this sequence follows the rule of n^3, where n represents the position of the number in the sequence. Therefore, the rule for this sequence is n^3, where n starts at 1 and increments by 1 for each subsequent number.
In mathematics, ( X_n ) typically represents a sequence or a specific element within a sequence, where ( n ) is an index that often indicates the position of the element in the sequence. For example, if ( X ) defines a sequence of numbers, then ( X_1 ) would be the first element, ( X_2 ) the second, and so on. The subscript ( n ) can also denote a variable that changes, allowing for the analysis of the sequence's behavior as ( n ) increases.
12 - 5(n-1)
An "expression" is anything that can be calculated to get a number, in other words, anything that represents a number, so that includes the numbers themselves.
A term of a sequence refers to an individual element or value within that sequence. Sequences are ordered lists of numbers or objects, where each term is identified by its position, typically denoted by an index. For example, in the sequence 2, 4, 6, 8, the numbers 2, 4, 6, and 8 are all terms of the sequence. The position of each term can be expressed using natural numbers, starting from 1 for the first term.