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Q: What are the next two numbers in this sequence 0 1 1 2 3 5 8?

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Fibonacci found a way to present mathematical numbers so that each number in the sequence is the sum of the two previous numbers. For example, if the sequence starts at 0 and 1, then next number in the sequence is 1, the next number would be 2, and then the next number would be 3, and then 5.

It is an arithmetic sequence. To differentiate arithmetic from geometric sequences, take any three numbers within the sequence. If the middle number is the average of the two on either side then it is an arithmetic sequence. If the middle number squared is the product of the two on either side then it is a geometric sequence. The sequence 0, 1, 1, 2, 3, 5, 8 and so on is the Fibonacci series, which is an arithmetic sequence, where the next number in the series is the sum of the previous two numbers. Thus F(n) = F(n-1) + F(n-2). Note that the Fibonacci sequence always begins with the two numbers 0 and 1, never 1 and 1.

the Fibonacci sequence: 0 1 1 2 3 5 8 13 21 34 55 89 144 ... 0+1=1 1+1=2 1+2=3 you add up the first two numbers and the equal the next and so on... kofie2468

The answer is 21.Your numerical series is the beginning of a mathematical sequence called Fibonacci Numbers.The first number of the sequence is 0, the second number is 1, and each subsequent number is equal to the sum of the previous two numbers of the sequence itself (i.e. 0, 1, 1, 2, 3, 5, 8, 13, 21, etc.).

the numbers 0 through 9 written in sequence or any portion of that sequence

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If the first two numbers are 0, 1 or -1 (not both zero) then you get an alternating Fibonacci sequence.

The Fibonacci sequence. The Fibonacci Sequence is the series of numbers: 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, ... The next number is found by adding up the two numbers before it

Fibonacci found a way to present mathematical numbers so that each number in the sequence is the sum of the two previous numbers. For example, if the sequence starts at 0 and 1, then next number in the sequence is 1, the next number would be 2, and then the next number would be 3, and then 5.

A recursive sequence uses previous numbers to find the next number in a sequence after the base case. The Fibonacci sequence is an example of such a sequence. The base numbers of the Fibonacci sequence are 0 and 1. After that base, you find the next number in the sequence by adding the two previous numbers. So, the Fibonacci sequence looks like so: 0, 1, 1, 2, 3, 5, 8.... So, the third number is found by adding the first and second numbers, 0 and 1. So the third number is 1. The fourth number is found by adding the second and third numbers, 1 and 1. So, the fourth number is 2. You can continue on this way forever.

1 and 0

The Fibonacci Series 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, ...

This sequence is all the single digits, written in reverse alphabetical order. The first value is 0, and zero comes last alphabetically. The next value is 2, and two comes second last alphabetically, and so on. From this, it is clear that the next few numbers will be 9,4,5 and 8 (eight being the first number alphabetically) and then the sequence will end.

It is an arithmetic sequence. To differentiate arithmetic from geometric sequences, take any three numbers within the sequence. If the middle number is the average of the two on either side then it is an arithmetic sequence. If the middle number squared is the product of the two on either side then it is a geometric sequence. The sequence 0, 1, 1, 2, 3, 5, 8 and so on is the Fibonacci series, which is an arithmetic sequence, where the next number in the series is the sum of the previous two numbers. Thus F(n) = F(n-1) + F(n-2). Note that the Fibonacci sequence always begins with the two numbers 0 and 1, never 1 and 1.

The next four number in the sequence are... 4,5,5 & 6

the Fibonacci sequence: 0 1 1 2 3 5 8 13 21 34 55 89 144 ... 0+1=1 1+1=2 1+2=3 you add up the first two numbers and the equal the next and so on... kofie2468

There are infinitely many different polynomials of degree 8 that will fit all the numbers of the above sequence. Each will generate a different number as the next one in the sequence.

The next sequence item would be 000.

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