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##### Asked by: Alle Szubryc

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

**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].

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.

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.

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!"