Q: What is the type of sequence where the terms in the sequence are found by adding the same number each time?

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Fibonacci sequence

Fibonacci sequence

Consecutive terms in the sequence are found by dividing by 2 and adding 2. Therefore, after the number 10 comes 10/2 + 2 = 7.

An arithmetic sequence.

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.

Adding together the terms and dividing them by the number of terms gives the arithmetic mean.

The sequence S = 2, 2, 4, 6, 10, 16, 26, ... is the Fibonacci sequence multiplied by 2. Like the Fibonacci sequence, each term is found by adding the two previous terms, so Sn = Sn-1 + Sn-2.

A Fibonacci sequence is a mathematical sequence that starts with zero, and continues by adding the previous two terms. The Fibonacci sequence starts: 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55. Each term from the second term onwards is achieved by adding the pervious two terms.

A number sequence is an ordered set of numbers. There can be a rule such that the next number in the sequence can be determined by the values of some or all of the preceding terms in the sequence. However, the sequence for a random walk illustrates that such a rule is not necessary to define a sequence.

One possibility is that the sequence continues: 46, 94, 190, ... The difference between the given terms is 3, 6, 12; so the sequence continues by doubling the previous difference: 24, 48, 96, ... and adding it to the previous number.

Each number in the sequence is 8 times the previous term, hence the next three terms are: 204.8, 1638.4 and 13107.2

An arithmetic sequence.

Three or more terms of a sequence are needed in order to find its nth term.

You cant solve the next term (next number) in this sequence. You need more terms, because this is either a "quadratic sequence", or a "linear and quadratic sequence", and you need more terms than this to solve a "linear and quadratic sequence" and for this particular "quadratic sequence" you would need more terms to solve nth term, which would solve what the next number is. If this is homework, check with your teacher if he wrote the wrong sum.

An average is found by adding all the terms and then dividing the sum by the number of terms. Here's an example: You take (2+4+5+8+3+8)/6 and you get the average of those numbers. (The answer is 5)

1, 1, 2, 3, 5, 8, 13, 21, ...Restate the question: What are the terms of the Fibonacci sequence?The Fibonacci sequence is formed by beginning with the first two terms both equal to one. From there on, each term is found by adding the two previous terms:1+1=2, 1+2=3, 2+3=5, 3+5=8, 5+8=13, 8+13=21, ...

The terms of a sequence added together is the sum.

This is called a Fibonacci series after the Italian mathematician who described it.

It looks like these are adding 6 to get the next number, so in that case the next number is 32. But, to be a bit pedantic, the series could be "add 6 for 2 terms, then add 5 for 2 terms, then add 4 for 2 terms, etc for ever. In that case the next number is 5. Or the rule could be something else. Unlikely, but beware of these things.

Fibonacci is most famous for his description of the number sequence, which in the 19th century was given the name 'Fibonacci numbers' . The sequence is made by starting with two ones, and adding them up, then to make every new term, the previous two terms need to be added together.

The arithmetic mean is an average arrived at by adding all the terms together and then dividing by the number of terms.

Adding 0.3 each time gives: 3.7, 4, 4.3 and 4.6.

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.

They are called terms in a sequence.

It's technically called an arithmetic sequence