Fibonacci found it interesting because he loved maths
he didn't actually find it interesting, in fact he fell asleep straight after he found it .
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.
NO, its not a Fibonacci Sequence, but it is very close. The Fibonacci Sequence is a series of numbers in which one term is the sum of the previous two terms. The Fibonacci Sequence would go as follows: 0,1,1,2,3,5,8,13,21,..... So 0+1=1, 1+1=2, 1+2=3, 2+3=5, ans so on.
because it is one of the easiest methord
Any single digit number is a palindrome. The Fibonacci sequence consists of infinitely many numbers so 8, being only one number, cannot be the Fibonacci sequence.
1,1,2,3,5...and so on.
Hey well the Fibonacci is a sequence it goes 1,1,2,3,5,8,13,21,34 and carry's on like that you have one number in the sequence then add the next number to get the number after that so its quite simple really
Fibonnacci is Italian for Fish, so the "fish" sequence is a clever play on words.
its the Fibonacci sequence
because this sequence is all about number and number and number and number .... and so on and on and on and on again....its never stop...
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.
i don know so why am i typing this i don make sence
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.
Discovery of the Fibonacci sequenceThe discovery of the Fibonacci sequence arose as the solution to a problem that required a mathematical approach. Leonardo Fibonacci, who was also known as Leonardo of Pisa, an Italian mathematician of the 13th Century, was trying to model the population of rabbits. His working hypothesis was that each pair of rabbits gave birth to a pair of baby rabbits in a period. In the next period, the babies were not yet old enough to breed but the original pair bred again. In the following period, the original as well as the babies from the first period bred. And so on. The number of pairs of rabbits in any period is given by the Fibonacci sequence.
Im not answering but making a statement... but wow i got the same question.
The Fibonacci sequence(1,1,2,3,5,8,13,21…) is made by the two previous numbers being added together to make the next number. For example 1+1=2, 1+2=3, 2+3=5, 3+5=8 and so on forever…
he was a mathematician that invented the sequence 1,1,2,3,5,8ect so you nearly know every thing
The Italian mathematician, Leonardo Bonacci, who was better known by his nickname, Fibonacci, published a book entitled "Liber Abaci" at the start of the 13th Century. Through this he introduced European mathematicians to the sequence which would later bear his name. However, the sequence itself had appeared books published by Indian scholars at least 50 years previously. So the latest is the middle of the 12th Century.
The limit is the Golden ratio which is 0.5[1 + sqrt(5)]
No. They are two words that both refer to the same set of numbers: 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, and so on.
It all depends on the sequence you are talking about. For example, the next number in the sequence 0,1,1,2,3,5,8,13,_ would be 21. This would be the Fibonacci sequence as the rule is add the 2 previous terms to get the next term. Another example would be this: 11,121,1331,14641,______.The missing number is 161051, following the pattern of powers of 11, 11^1, 11^2, 11^3 and so on. If you understand what I am trying to say, it all depends on the sequence you are trying to find the number in.
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... The first ten numbers in the sequence are; 1, 1, 2, 3, 5, 8, 13, 21, 34, 55. It continues like this, indefinitely.
The pentagram is related to the golden ratio, because the diagonals of a pentagram sections each other in the golden ratio. The Fibonacci numbers are also related to the golden ratio. Take two following Fibonacci numbers and divide them. So you have 2:1, 3:2, 5:3, 8:5 and so on. This sequence is going to the golden ratio
There is no conclusion to the Fibonacci sequence - it continues on infinitely. The conclusion is that successive terms tend to a constant ratio with one another. So if a is one term, the next is ar and the one after that is ar2. Then from the rule that any term is the sum of the previous two, ar2=ar +a, which means r2-r-1=0 so r =(1+sqrt5)/2 (the golden ratio). There is no end to this series.