Nth Term of Fibonaccci Sequence Calculator

✖(N-1)th Term of Fibonacci Sequence is the term corresponding to the index or position (n-1) from the beginning of the given Fibonacci Squence.ⓘ (N-1)th Term of Fibonacci Sequence [F_n-1]			+10% -10%
✖(N-2)th Term of Fibonacci Sequence is the term corresponding to the index or position (n-2) from the beginning of the given Fibonacci Sequence.ⓘ (N-2)th Term of Fibonacci Sequence [F_n-2]			+10% -10%

✖Nth Term of Fibonacci Sequence is the term corresponding to the index or position n from the beginning of the given Fibonacci Sequence.ⓘ Nth Term of Fibonaccci Sequence [F_n]

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Formula

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Nth Term of Fibonaccci Sequence

Formula

`"F"_{"n"} = "F"_{"n-1"}+"F"_{"n-2"}`

Example

`"21"="13"+"8"`

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Nth Term of Fibonaccci Sequence Solution

STEP 0: Pre-Calculation Summary

Formula Used

Nth Term of Fibonacci Sequence = (N-1)th Term of Fibonacci Sequence+(N-2)th Term of Fibonacci Sequence
F_n = F_n-1+F_n-2
This formula uses 3 Variables

Variables Used

Nth Term of Fibonacci Sequence - Nth Term of Fibonacci Sequence is the term corresponding to the index or position n from the beginning of the given Fibonacci Sequence.
(N-1)th Term of Fibonacci Sequence - (N-1)th Term of Fibonacci Sequence is the term corresponding to the index or position (n-1) from the beginning of the given Fibonacci Squence.
(N-2)th Term of Fibonacci Sequence - (N-2)th Term of Fibonacci Sequence is the term corresponding to the index or position (n-2) from the beginning of the given Fibonacci Sequence.

STEP 1: Convert Input(s) to Base Unit

(N-1)th Term of Fibonacci Sequence: 13 --> No Conversion Required
(N-2)th Term of Fibonacci Sequence: 8 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

F_n = F_n-1+F_n-2 --> 13+8

Evaluating ... ...

F_n = 21

STEP 3: Convert Result to Output's Unit

21 --> No Conversion Required

FINAL ANSWER

21 <-- Nth Term of Fibonacci Sequence

(Calculation completed in 00.004 seconds)

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< 5 Fibonacci Sequence Calculators

Nth Term of Fibonaccci Sequence using Golden Ratio

Go Nth Term of Fibonacci Sequence = ([phi]^(Value of N of Fibonacci Sequence)-(1-[phi])^(Value of N of Fibonacci Sequence))/sqrt(5)

Nth Term of Fibonaccci Sequence

Go Nth Term of Fibonacci Sequence = (N-1)th Term of Fibonacci Sequence+(N-2)th Term of Fibonacci Sequence

Sum of First N Even Index Fibonacci Numbers

Go Sum of First N Even Index Fibonacci Numbers = (2N+1)th Term of Fibonacci Sequence-1

Sum of First N Odd Index Fibonacci Numbers

Go Sum of First N Odd Index Fibonacci Numbers = 1*2Nth Term of Fibonacci Sequence

Sum of First N Fibonacci Numbers

Go Sum of First N Fibonacci Numbers = (N+2)th Term of Fibonacci Sequence-1

Nth Term of Fibonaccci Sequence Formula

Nth Term of Fibonacci Sequence = (N-1)th Term of Fibonacci Sequence+(N-2)th Term of Fibonacci Sequence
F_n = F_n-1+F_n-2

What is Fibonacci Sequence?

The Fibonacci sequence is a type series where each number is the sum of the two that precede it. It starts from 0 and 1 usually. The Fibonacci sequence is given by 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, and so on. The numbers in the Fibonacci sequence are also called Fibonacci numbers. In Maths, the sequence is defined as an ordered list of numbers that follow a specific pattern. The numbers present in the sequence are called the terms. The different types of sequences are arithmetic sequence, geometric sequence, harmonic sequence and Fibonacci sequence.

How to Calculate Nth Term of Fibonaccci Sequence?

Nth Term of Fibonaccci Sequence calculator uses Nth Term of Fibonacci Sequence = (N-1)th Term of Fibonacci Sequence+(N-2)th Term of Fibonacci Sequence to calculate the Nth Term of Fibonacci Sequence, The Nth Term of Fibonaccci Sequence formula is defined as the term corresponding to the index or position n from the beginning of the given Fibonacci Sequence. Nth Term of Fibonacci Sequence is denoted by F_n symbol.

How to calculate Nth Term of Fibonaccci Sequence using this online calculator? To use this online calculator for Nth Term of Fibonaccci Sequence, enter (N-1)th Term of Fibonacci Sequence (F_n-1) & (N-2)th Term of Fibonacci Sequence (F_n-2) and hit the calculate button. Here is how the Nth Term of Fibonaccci Sequence calculation can be explained with given input values -> 16 = 13+8.

FAQ

What is Nth Term of Fibonaccci Sequence?

The Nth Term of Fibonaccci Sequence formula is defined as the term corresponding to the index or position n from the beginning of the given Fibonacci Sequence and is represented as F_n = F_n-1+F_n-2 or Nth Term of Fibonacci Sequence = (N-1)th Term of Fibonacci Sequence+(N-2)th Term of Fibonacci Sequence. (N-1)th Term of Fibonacci Sequence is the term corresponding to the index or position (n-1) from the beginning of the given Fibonacci Squence & (N-2)th Term of Fibonacci Sequence is the term corresponding to the index or position (n-2) from the beginning of the given Fibonacci Sequence.

How to calculate Nth Term of Fibonaccci Sequence?

The Nth Term of Fibonaccci Sequence formula is defined as the term corresponding to the index or position n from the beginning of the given Fibonacci Sequence is calculated using Nth Term of Fibonacci Sequence = (N-1)th Term of Fibonacci Sequence+(N-2)th Term of Fibonacci Sequence. To calculate Nth Term of Fibonaccci Sequence, you need (N-1)th Term of Fibonacci Sequence (F_n-1) & (N-2)th Term of Fibonacci Sequence (F_n-2). With our tool, you need to enter the respective value for (N-1)th Term of Fibonacci Sequence & (N-2)th Term of Fibonacci Sequence and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Nth Term of Fibonacci Sequence?

In this formula, Nth Term of Fibonacci Sequence uses (N-1)th Term of Fibonacci Sequence & (N-2)th Term of Fibonacci Sequence. We can use 1 other way(s) to calculate the same, which is/are as follows -

Nth Term of Fibonacci Sequence = ([phi]^(Value of N of Fibonacci Sequence)-(1-[phi])^(Value of N of Fibonacci Sequence))/sqrt(5)

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