# What are the first 10000 numbers of the Fibonacci sequence?

The Fibonacci series starts with 1, 1, 2, 3, 5, 8, ... Each number is the sum of the previous two numbers. You can easily continue adding (you might put a formula in Excel, and copy it), but you quickly reach very, very large numbers - long before the 10,000th. term.

### What is a recursive sequence and its relationship to a Fibonacci sequence.?

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…

### Can you write a program to display the Fibonacci series in C?

Yes, you can. To generate the Fibonacci sequence, you start with the first two numbers in the sequence, usually 0 and 1. The remainder of the sequence is the sum of the previous two numbers in the sequence: The following function will generate n terms of the sequence using first and second as the first two numbers in the sequence: void fibonacci (int n, int first=0, int second=1) { for (int term=0; term<n; ++term) {…

### How does Fibonacci sequence begin?

1, 1 are the first two numbers in the sequence; so, that's where you begin. In the Fibonacci sequence, you add numbers. Each sum is added to the previous largest number, to make the next number in the sequence. So, adding the first two numbers; 1 + 1 = 2. Then, as 2 was the resulting sum; and one was the last largest number, you add them. 1 + 2 = 3. And so on…

### How does the Fibonacci sequence work?

The Fibonacci sequence is a series of integers where each number is the sum of the preceeding two numbers, and the first two numbers in the series is 0 and 1. The first 10 numbers in the series are 0, 1, 1, 2, 3, 5, 8, 13, 21, 34. Some definitions start the series at 1 and 1, omitting the 0. The ratio of two sequential Fibonacci numbers, as the numbers get large, approaches phi…

### How do you calculate the eighth number in the Fibonacci sequence?

Each number in the Fibonacci sequence is the sum of the two previous numbers. The first two numbers are 1. If you add them together, you get 2. Then add 2 to one to get 3. 3+2=5, and so on, until you get the 8th value. It is important to remember that the first two ones are part of the sequence. 1, 1, 2, 3, 5, 8, 13, 21

### How is the Fibonacci sequence important in math?

The sequence 1, 1, 2, 3, 5, ..., is used in mathematical programming to find the interval containing the minimizer of a function of one variable. Fibonacci was the founder of the Fibonacci Sequence, in which each number is found by adding together the two before it. The first few numbers are: 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144...

### What is a Fibonacci series?

The Fibonacci series is a recursively defined sequence of numbers: x1 = x2 = 1 xn = xn-1 + xn-2 In words: The first two Fibonacci numbers are 1, and each following number is the sum of the two predessors. 1, 1, 2, 3, 5, 8, 13, 21, ... Note: There is another definition of the Fibonacci series: x0 = 0 x1 = 1 xn = xn-1 + xn-2 In this case, the sequence begins…

### What is the Fibonacci like sequence?

Well a like sequence would follow the same rule as the sequence itself: Each number (after the first two) is the sum of the previous two numbers. Thus the sequence begins 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, etc. The higher up in the sequence, the closer two consecutive "Fibonacci numbers" of the sequence divided by each other will approach the golden ratio (approximately 1 : 1.618 or 0.618…

### What is the fibanarchee sequence?

Not sure about the fibanarchee sequence, but the Fibonacci sequence, discovered by Leonardo of Pisa is defined as follows:F(1) = 1 F(2) = 1 F(n+2) = F(n) + F(n+1) for n = 1, 2, 3, ... That is, the first two numbers in the sequence are 1, and after that every number is the sum of the two preceding numbers.

### Are lotto numbers from the series of Fibonacci?

No ! Fibonacci numbers are in a special sequence, omitting many other consecutive numbers in between that don't fit the Fibonacci series. Lotto number are random. The range of numbers differs in different 'lotto' lotteries. A national lotto, for example, may use only the numbers from 1 to 49. The numbers are chosen by a random process, perhaps by having a ball marked with each number. The balls are drawn at random. When five balls…

### Prove 3 divides every 4th Fibonacci number?

First, one must acknowledge that if one adds a group of numbers, the resulting sum will have the same remainder when divided by three as the sum of each number's modulus by three would be. The first four numbers in the Fibonacci sequence, mod 3, are 0, 1, 1, 2. By the rule established in the beginning of this answer and by the rules of the Fibonacci sequence, the modulus of a given number in…

### 11235813. What is the next number in this sequence?

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.).