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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
What else can I help you with?
What is a squence of 112358132124?
The sequence 112358132124 is a variation of the Fibonacci sequence, where each number is the sum of the two preceding ones. It starts with 1, 1, 2, 3, 5, 8, 13, 21, and 34. In this case, the sequence is presented as a concatenated string of its first 12 Fibonacci numbers. Thus, it represents the digits of the Fibonacci numbers lined up together.
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
What are the first 3 numbers of the Fibonacci numbers sequence?
1, 1 and 2
What is a squence of 112358132124?
The sequence 112358132124 is a variation of the Fibonacci sequence, where each number is the sum of the two preceding ones. It starts with 1, 1, 2, 3, 5, 8, 13, 21, and 34. In this case, the sequence is presented as a concatenated string of its first 12 Fibonacci numbers. Thus, it represents the digits of the Fibonacci numbers lined up together.
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.
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.
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.
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
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 4 digit number in the Fibonacci sequence?
The first four-digit Fibonacci number is 1597 - equal to 610 + 987.
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.
