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##### Asked by: Alle Szubryc

hobbies and interests genealogy and ancestry# How do you find the nth term in Fibonacci sequence?

Last Updated: 16th March, 2020

**numbers**in the

**Fibonacci sequence**. Remember that the formula to find the

**nth term**of the

**sequence**(denoted by F[n]) is F[n-1]+ F[n-2]. 2. Next, look at the ratios found byF[n]/F[n-1].

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Besides, what is the formula for Fibonacci sequence?

It is: a_{n} = [ Phi^{n} -(phi)^{n} ]/Sqrt[5]. where Phi=(1+Sqrt[5])/2 is theso-called golden mean, and phi=(1-Sqrt[5])/2 is an associatedgolden **number**, also equal to (-1/Phi). This **formula**is attributed to Binet in 1843, though known by Euler beforehim.

Additionally, what is the 10th number in the Fibonacci sequence? 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233,377, 610, 987, 1597, 2584, 4181, 6765, 10946…

Beside above, what is the formula for finding the nth term?

Such sequences can be expressed in terms of the **nthterm** of the sequence. In this case, the **nth term** = 2n.To **find** the 1st **term**, put n = 1 into the**formula**, to **find** the 4th **term**, replace the n'sby 4's: 4th **term** = 2 × 4 = 8.

What is the highest number in the Fibonacci sequence?

Fib(2222) (with 465 digits) is the **largest** known**Fibonacci number** with this property. There are no otherswith N<5000, and it seems likely that Fib(2222) is actually the**largest** one. However, no proof exists!"