Arithmetic Sequence
That is called an arithmetic sequence. For example: 8, 15, 22, 29, 36, 43, 50, 57, etc.
A convergent sequence is an infinite sequence whose terms move ever closer to a finite limit. For any specified allowable margin of error (the absolute difference between each term and the finite limit) a term can be found, after which all succeeding terms in the sequence remain within that margin of error.
Well, well, well, look who's getting fancy with geometric sequences! When the ratio between consecutive terms is "r," each term is found by multiplying the previous term by "r." So, in simpler terms, if you have a sequence like 2, 4, 8, 16, the ratio between consecutive terms is 2. Math can be sassy too, honey!
i dont get it
A comparison in math terms is when you see if two problems are equal to each other.
Arithmetic Sequence
That is called an arithmetic sequence. For example: 8, 15, 22, 29, 36, 43, 50, 57, etc.
That's an arithmetic sequence.
Each number in the sequence is 8 times the previous term, hence the next three terms are: 204.8, 1638.4 and 13107.2
Yes, that's what a geometric sequence is about.
A harmonic sequence is a sequence of numbers in which the reciprocal of each term forms an arithmetic progression. In other words, the ratio between consecutive terms is constant when the reciprocals of the terms are taken. It is the equivalent of an arithmetic progression in terms of reciprocals.
In a mathematical sequence, "terms" refer to the individual elements or numbers that make up the sequence. For example, in the sequence 2, 4, 6, 8, the terms are 2, 4, 6, and 8. Each term can be defined by a specific rule or formula that generates the sequence, such as adding a constant value or multiplying by a factor. Understanding the terms is essential for analyzing the properties and patterns within the sequence.
You mean what IS a geometric sequence? It's when the ratio of the terms is constant, meaning: 1, 2, 4, 8, 16... The ratio of one term to the term directly following it is always 1:2, or .5. So like, instead of an arithmetic sequence, where you're adding a specific amount each time, in a geometric sequence, you're multiplying by that term.
The sequence follows a pattern where each term is half of the previous term. Therefore, the next terms after 32 would be 16, 8, and 4.
A convergent sequence is an infinite sequence whose terms move ever closer to a finite limit. For any specified allowable margin of error (the absolute difference between each term and the finite limit) a term can be found, after which all succeeding terms in the sequence remain within that margin of error.
Be more specific what is a "term" and an "expression" I am gonna assume by term you mean terms of a sequence, of course you can. Take a sequence of functions, each function is a graph, some of them can be written as expressions. My argument is definitely Calculus.
13 This is because each term of the sequence is determined by adding the 2 previous terms of the sequence. This particular sequence is called the Fibonacci Sequence, and has special properties. See related link.