Geo Barton
Papasha
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Learn what a sequence is, how to identify and write it, and how to find its terms and rules. Explore the types of sequences, such as arithmetic, geometric, and Fibonacci, and see how to use them in examples and formulas.
General sequences. Evaluating sequences in recursive form. Sequences and domain. Sequences: FAQ. Sequences are a special type of function that are useful for describing patterns. In this unit, we'll see how sequences let us jump forwards or backwards in patterns to solve problems.
Learn what arithmetic sequences are and how to find their common difference. Practice with examples, problems and exercises on ordered lists of numbers with constant patterns.
- So if adding and subtracting from the previous terms create an arithmetic sequence, would multiplyin...In short, yes. Arithmetic is always adding or subtracting the same constant term or amount. Geometric is always multiplying or dividing by the same...
- is the lucas series series also an arithmetic sequence eg. {1,1,2,3,5,8,13,21,34...} where asub(k)=a...NO. Take a look at the difference between the terms of the sequence. The difference between the terms is not constant (not the same), hence not an...
- Are arithmetic sequences always either addition or subtractionYes that is what makes them arithmetic. Multiply and divide are geometric sequences.
- do all arithmetic sequences have to have real numbers?A sequence can be of unreal numbers I think that arithmetic progression should of real numbers
- If I multiple the last number by a fixed number in a sequence,is it not that an arithmetic sequencesSimply put if its multiplied or divided it'll be geometric whereas if its added or subtracted its an arithmetic secuence
- can somebody please explain why we cannot multiply or divide sequentially and still have the sequenc...Some historical mathematician defined arithmetic sequences has being defined by addition/subtractions of a common value to get from one term to the...
- I put that 3, 9, 27, and 81 was a arithmetic sequence. Why is that wrong? I know why but I just feel...In this case that is a geometric sequence in which you are multiplying or dividing by a number. An arithmetic sequence would be where you are addin...
- Why does multiplying or dividing count as an arithmetic sequence?They don't. An *arithmetic sequence* uses addition/subtraction of a common value to create the next term in the sequence. A *geometric sequences* u...
People also ask
What are sequences and their limits?
What are some examples of sequences?
What are sequences & why are they important?
Is a sequence finite or infinite?
In mathematics, a sequence is an enumerated collection of objects in which repetitions are allowed and order matters. Like a set, it contains members (also called elements, or terms ). The number of elements (possibly infinite) is called the length of the sequence. Unlike a set, the same elements can appear multiple times at different positions ...
Learn the basics of sequences, ordered lists of numbers that follow a specific pattern and can be extended indefinitely. Find out how to use formulas, recursive formulas, and recursive definitions to find any term in a sequence and how to distinguish between finite and infinite sequences.
- 8 min
- Sal Khan
- What is the difference between finite and infinite sequence, as they both have similar functions?In a finite sequence, there are a limited number of values for k. For example, the first finite sequence that Sal lists has values of k from 1 to 4...
- So, what is the difference between a function and a sequence? Why is a sequence discrete and a funct...In general, a function is a relations that defines an output for *any* input over an interval. Thus, you are often able to visualize this set of ou...
- Why is it always -1 in the end of the equation in the parenthesis? Is it possible for it to be a dif...We have the (k-1) multiplied to the common difference so that the formula is valid for all terms, including the first term. The first term(k=1) doe...
- I don't get what recursive is, can someone explain it please?In a recursively defined sequence, the next term is defined in terms of (excuse the pun) the terms that come before it. For example you could have...
- Are the Fibonacci numbers considered a sequence? 1,1,2,3,5,8,13,21 and so on.Yes, the Fibonacci numbers are an example of a sequence. Have a blessed, wonderful day!
- What is the difference between DENOTING a sequence and DEFINING a sequence? Are explicit and recursi..."Define" a sequence is the act of establish a law who's govern a sequence. Like the arithmetic sequences in the video (one with the law +3 in each...
- I don't understand some of the words being used. What does recursive, "a sub k" and explicit mean? P...a sub k seems to be the way to read aloud ak as it is written at 1:25, ie with the k below the a (ie k is the 'subscript'). I will use this 'a sub...
- WHAT ARE WE REFERING TO AS K herek is the index/position of a term in the sequence. for example, the 1st term in a sequence would have a k value of 1, the 2nd term would have a k v...
- Is there a convention how to represent a sequence? I see that Sal is using 1+3(k-1), although 3k-2 i...I was too hasty. My question is answered in later lessons.
A sequence is a function whose domain consists of a set of natural numbers beginning with 1. In addition, a sequence can be thought of as an ordered list. Formulas are often used to describe the n th term, or general term, of a sequence using the subscripted notation an. A series is the sum of the terms in a sequence.
Learn what a sequence and a series are, how to distinguish them, and how to calculate their formulas. Find out the common types of sequences and series, such as arithmetic, geometric, harmonic, and fibonacci numbers. See examples of problems based on sequence and series concepts.
