Fibonacci Series in Bash Last Updated : 20 May, 2022 Comments Improve Suggest changes Like Article Like Report Prerequisite: Fibonacci Series Write a program to print the Fibonacci sequence up to nth digit using Bash. Examples: Input : 5 Output : Fibonacci Series is : 0 1 1 2 3 Input :4 Output : Fibonacci Series is : 0 1 1 2 The Fibonacci numbers are the numbers in the following integer sequence . 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, …….. Approach As we know F0 = 0 and F1 = 1 and the next value comes by adding the previous two values . FN = FN-1 + FN-2 Loop to Nth number adding previous two numbers. BASH # Program for Fibonacci # Series # Static input for N N=6 # First Number of the # Fibonacci Series a=0 # Second Number of the # Fibonacci Series b=1 echo "The Fibonacci series is : " for (( i=0; i<N; i++ )) do echo -n "$a " fn=$((a + b)) a=$b b=$fn done # End of for loop Output: Fibonacci Series is : 0 1 1 2 3 5 8 Comment More infoAdvertise with us Next Article R Program to Print the Fibonacci Sequence M Manish_100 Follow Improve Article Tags : Linux-Unix DSA Shell Script Similar Reads How to check if a given number is Fibonacci number? Given a number ânâ, how to check if n is a Fibonacci number. First few Fibonacci numbers are 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, .. Examples :Input : 8Output : YesInput : 34Output : YesInput : 41Output : NoApproach 1:A simple way is to generate Fibonacci numbers until the generated number 15 min read Nth Fibonacci Number Given a positive integer n, the task is to find the nth Fibonacci number.The Fibonacci sequence is a sequence where the next term is the sum of the previous two terms. The first two terms of the Fibonacci sequence are 0 followed by 1. The Fibonacci sequence: 0, 1, 1, 2, 3, 5, 8, 13, 21Example:Input: 15+ min read C++ Program For Fibonacci Numbers The Fibonacci series is the sequence where each number is the sum of the previous two numbers. The first two numbers of the Fibonacci series are 0 and 1, and they are used to generate the entire series.Examples:Input: 5Output: 5Explanation: As 5 is the 5th Fibonacci number of series 0, 1, 1, 2, 3, 5 5 min read Python Program for n-th Fibonacci number In mathematical terms, the sequence Fn of Fibonacci numbers is defined by the recurrence relation Fn = Fn-1 + Fn-2With seed values F0 = 0 and F1 = 1.Table of ContentPython Program for n-th Fibonacci number Using Formula Python Program for n-th Fibonacci number Using RecursionPython Program for n-th 6 min read Interesting Programming facts about Fibonacci numbers We know Fibonacci number, Fn = Fn-1 + Fn-2. First few Fibonacci numbers are 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377, 610, 987, .... . Here are some interesting facts about Fibonacci number : 1. Pattern in Last digits of Fibonacci numbers : Last digits of first few Fibonacci Numbers ar 15+ min read Find nth Fibonacci number using Golden ratio Fibonacci series = 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, ........Different methods to find nth Fibonacci number are already discussed. Another simple way of finding nth Fibonacci number is using golden ratio as Fibonacci numbers maintain approximate golden ratio till infinite. Golden ratio: \varphi ={\fr 6 min read Fast Doubling method to find the Nth Fibonacci number Given an integer N, the task is to find the N-th Fibonacci numbers.Examples: Input: N = 3 Output: 2 Explanation: F(1) = 1, F(2) = 1 F(3) = F(1) + F(2) = 2 Input: N = 6 Output: 8 Approach: The Matrix Exponentiation Method is already discussed before. The Doubling Method can be seen as an improvement 14 min read Tail Recursion for Fibonacci Write a tail recursive function for calculating the n-th Fibonacci number. Examples : Input : n = 4 Output : fib(4) = 3 Input : n = 9 Output : fib(9) = 34 Prerequisites : Tail Recursion, Fibonacci numbersA recursive function is tail recursive when the recursive call is the last thing executed by the 4 min read Sum of Fibonacci Numbers Given a number positive number n, find value of f0 + f1 + f2 + .... + fn where fi indicates i'th Fibonacci number. Remember that f0 = 0, f1 = 1, f2 = 1, f3 = 2, f4 = 3, f5 = 5, ... Examples : Input : n = 3Output : 4Explanation : 0 + 1 + 1 + 2 = 4Input : n = 4Output : 7Explanation : 0 + 1 + 1 + 2 + 3 9 min read Fibonacci SeriesProgram to Print Fibonacci SeriesEver wondered about the cool math behind the Fibonacci series? This simple pattern has a remarkable presence in nature, from the arrangement of leaves on plants to the spirals of seashells. We're diving into this Fibonacci Series sequence. It's not just math, it's in art, nature, and more! Let's dis 8 min read Program to Print Fibonacci Series in JavaThe Fibonacci series is a series of elements where the previous two elements are added to generate the next term. It starts with 0 and 1, for example, 0, 1, 1, 2, 3, and so on. We can mathematically represent it in the form of a function to generate the n'th Fibonacci number because it follows a con 5 min read Print the Fibonacci sequence - PythonTo print the Fibonacci sequence in Python, we need to generate a series of numbers where each number is the sum of the two preceding ones, starting from 0 and 1. The Fibonacci sequence follows a specific pattern that begins with 0 and 1, and every subsequent number is the sum of the two previous num 5 min read C Program to Print Fibonacci SeriesThe Fibonacci series is the sequence where each number is the sum of the previous two numbers of the sequence. The first two numbers are 0 and 1 which are used to generate the whole series.ExampleInput: n = 5Output: 0 1 1 2 3Explanation: The first 5 terms of the Fibonacci series are 0, 1, 1, 2, 3.In 4 min read JavaScript Program to print Fibonacci SeriesThe Fibonacci sequence is the integer sequence where the first two terms are 0 and 1. After that, the next term is defined as the sum of the previous two terms. The recurrence relation defines the sequence Fn of Fibonacci numbers:Fn = Fn-1 + Fn-2 with seed values F0 = 0 and F1 = 1Examples:Input : 5 4 min read Length of longest subsequence of Fibonacci Numbers in an ArrayGiven an array arr containing non-negative integers, the task is to print the length of the longest subsequence of Fibonacci numbers in this array.Examples: Input: arr[] = { 3, 4, 11, 2, 9, 21 } Output: 3 Here, the subsequence is {3, 2, 21} and hence the answer is 3.Input: arr[] = { 6, 4, 10, 13, 9, 5 min read Last digit of sum of numbers in the given range in the Fibonacci seriesGiven two non-negative integers M, N which signifies the range [M, N] where M ? N, the task is to find the last digit of the sum of FM + FM+1... + FN where FK is the Kth Fibonacci number in the Fibonacci series. 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, ... Examples: Input: M = 3, N = 9 Output: 5 min read K- Fibonacci seriesGiven integers 'K' and 'N', the task is to find the Nth term of the K-Fibonacci series. In K - Fibonacci series, the first 'K' terms will be '1' and after that every ith term of the series will be the sum of previous 'K' elements in the same series. Examples: Input: N = 4, K = 2 Output: 3 The K-Fibo 7 min read Fibonacci Series in BashPrerequisite: Fibonacci Series Write a program to print the Fibonacci sequence up to nth digit using Bash. Examples: Input : 5 Output : Fibonacci Series is : 0 1 1 2 3 Input :4 Output : Fibonacci Series is : 0 1 1 2 The Fibonacci numbers are the numbers in the following integer sequence . 0, 1, 1, 2 1 min read R Program to Print the Fibonacci SequenceThe Fibonacci sequence is a series of numbers in which each number (known as a Fibonacci number) is the sum of the two preceding ones. The sequence starts with 0 and 1, and then each subsequent number is the sum of the two previous numbers. The Fibonacci sequence has many applications in various fie 2 min read Like