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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 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.

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.

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.

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