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After the first few numbers in the Fib sequence, Fib(n) is very nearly equal to (phi)n / sqrt(5) where phi is the Golden Ratio = [1+sqrt(5)]/2
[The difference is around 0.00003 by Fib(20)]
So you want the smallest n such that (phi)n / sqrt(5) ≥ 10999
Taking logs,
n*log(phi) - 0.5*log(5) ≥ 999
n*log(phi) ≥ 999 + 0.5*log(5) = 999.349
n ≥ 999.349/log(phi) = 999.349/0.2090
So n = 4781
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Explain how to find the terms of Fibonacci sequence?
If the Fibonacci sequence is denoted by F(n), where n is the first term in the sequence then the following equation obtains for n = 0.
When did Leonardo Fibonacci discovered the Fibonacci numbers?
Leonardo Fibonacci first recorded his sequence in his book Liber Abaci, which was published in 1202.
What is the first five digit number in the Fibonacci sequence?
10946
List the first eight terms of the sequence formed by finding the differences of successive terms in the Fibonacci sequence?
0,1,1,2,3,5,8,13
What are the first 3 numbers of the Fibonacci numbers sequence?
1, 1 and 2
How would one describe a Fibonacci number?
A Fibonacci number, Fibonacci sequence or Fibonacci series are a mathematical term which follow a integer sequence. The first two numbers in Fibonacci sequence start with a 0 and 1 and each subsequent number is the sum of the previous two.
When was the Fibonacci sequance invented?
the Fibonacci sequence was first published by Leonardo Fibonacci in his book "Liber Abaci" in 1202.
What type of animal did Fibonacci first study to discover the Fibonacci sequence?
I think it was rabbits.
What are the first 900 numbers of the Fibonacci sequence?
The list is too big to put here -- the 900th Fibonacci number alone has 188 digits. You can get a full list in the reference site posted below, by generating 900 entries.
What is this sequence called 112358?
The sequence 112358 is called the Fibonacci sequence. This is a series of numbers where each number after the first two is the sum of the two preceding ones.
Explain how to find the terms of Fibonacci sequence?
If the Fibonacci sequence is denoted by F(n), where n is the first term in the sequence then the following equation obtains for n = 0.
When did Leonardo Fibonacci discovered the Fibonacci numbers?
Leonardo Fibonacci first recorded his sequence in his book Liber Abaci, which was published in 1202.
What is one way to decide if two numbers follow a Fibonacci sequence?
They will always follow some Fibonacci sequence. If P and Q are any two numbers, then they belong to the Fibonacci sequence with the first two numbers as P and (Q-P).
What is the first five digit number in the Fibonacci sequence?
10946
From where did the Fibonacci sequence come from?
The Fibonacci sequence, was first known by the ancient people of India. When Fibonacci travelled there in the 1200's he learnt it from them and then passed on his learning to the rest of Europe through his book, Liber Abaci.
What is the first 4 digit number in the Fibonacci sequence?
The first four-digit Fibonacci number is 1597 - equal to 610 + 987.
How did Robert Langdon solve the Fibonacci sequence in The Da Vinci Code?
In The Da Vinci Code, Robert Langdon realized the Fibonacci sequence was the key to solving the cryptex puzzle by recognizing the sequence in the numbers on the Vitruvian Man painting. He used the Fibonacci sequence to determine the correct order of the letters in the password.
