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Fibonacci sequence

Q: What is the sequence of number which the next term is formed by adding the last two terms?

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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.

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

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

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Fibonacci sequence

That's an arithmetic sequence.

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

An arithmetic sequence.

0,1,1,2,3,5,8,13

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

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.

These are called the second differences. If they are all the same (non-zero) then the original sequence is a quadratic.

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

The patter formed by summing the two previous terms is called the Fibonacci Sequence

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.