STEP1. Set value of count=1, output=1, T1=0, T2=1
STEP2. Read value of n
STEP3. Print output
STEP4. Calculate
output=T1+T2
STEP5. T1=T2 & T2=output
STEP6. Calculate count= count+1
STEP7. If (count<=n>
go to STEP3
else
go to STEP8
STEP8. End
You could also just plug in n into this formula:
F(n) = [φ^n - (1-φ)^n] / sqrt(5)
φ is about 1.618033989 and is the Golden Ratio
[It's also the limit as n approaches infinity of the nth term in the Fibonacci sequence divided by the (n-1)th term]
#include
#include
using std::cin;
using std::cout;
using std::endl;
using std::tolower;
long factorial(const int& N);
int main()
{
int N = 0; //factorial of N
char command = 'n';
do
{
cout << "Enter a number to calculate factorial: ";
cin >> N;
cout << endl << "Factorial of " << N << " is: " << factorial(N) << endl;
cout << "Do you want to continue (y/n)?";
cin >> command;
cout << endl;
} while ('y' == tolower(command));
system("PAUSE");
return 0;
}
long factorial(const int& N)
{
if (N == 0)
{
return 1;
}
else
{
return (N * factorial(N - 1));
}
}
ops sorry .......................................
The Fibonacci sequence uses recursion to derive answers. It is defined as: F0 = 0 F1 = 1 Fn = F(n - 1) + F(n -2) To have this sequence printed by a php script use the following: function fibonacci($n) { if($n 1) return 1; //F1 else return fibonacci($n - 1) + fibonacci($n - 2); //Fn } This recursive function will print out the Fibonacci number for the integer n. To make it print out all the numbers in a particular set add this to your script. for($i = 0; $i < 15; $i++) { echo fibonacci($i) . "<br />"; } So your final result would look like. <?php function fibonacci($n) { if($n 1) return 1; else return fibonacci($n - 1) + fibonacci($n - 2); } for($i = 0; $i < 15; $i++) { echo fibonacci($i) . "<br />"; } ?>
The formula for the Fibonacci series isFn = Fn-1 + Fn-2 for n ≥ 2 with F0 = 0 and F1 = 1.In layman's terms, in the Fibonacci series each successive number is the sum of the previous two numbers, starting with 1. So we have 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55 etcTo do this in Java or any computer program you will need to create a recursive program, one that picks up previous values. This is quite easy, even for a beginner, once one grasps the Fibonacci fundamentals. Here is an example in Java:public class Fibonacci {public static long fib(int n) {if (n
In c: int fibr(int n) { // Find nth Fibonacci number using recursion. if (n<=2) return 1; // the first two Fibonacci numbers are 1 and 1 return (fibr(n-2)+fibr(n-1)); } int fibi(int n) { // Find nth Fibonacci number using iteration. int temp,last=1,f=1; int i; for (i=3;i<n;++i) { // the first two Fibonacci numbers are 1 and 1 temp=f; f+=last; last=temp; } return f; }
Here is a good answer for recursion Fibonacci series. #include <stdio.h> #include <conio.h> long Fibonacci(long n); int main() { long r, n,i; printf("Enter the value of n: "); scanf("%ld",&n); for(i=0;i<=n;i++) { printf(" Fibonacci(%ld)= %ld\n", i,Fibonacci(i)); } getch(); return 0; } long Fibonacci(long n) { if(n==0 n==1) return n; else { return (Fibonacci(n-1)+Fibonacci(n-2)); } } for n=5; Output: Fibonacci(0)=0 Fibonacci(1)=1 Fibonacci(2)=1 Fibonacci(3)=2 Fibonacci(4)=3 Fibonacci(5)=5
Just generate the Fibonacci numbers one by one, and print each number's last digit ie number%10.
Yes, this can be done. For example for Fibonacci series. You will find plenty of examples if you google for the types of series you need to be generated.
The Fibonacci sequence uses recursion to derive answers. It is defined as: F0 = 0 F1 = 1 Fn = F(n - 1) + F(n -2) To have this sequence printed by a php script use the following: function fibonacci($n) { if($n 1) return 1; //F1 else return fibonacci($n - 1) + fibonacci($n - 2); //Fn } This recursive function will print out the Fibonacci number for the integer n. To make it print out all the numbers in a particular set add this to your script. for($i = 0; $i < 15; $i++) { echo fibonacci($i) . "<br />"; } So your final result would look like. <?php function fibonacci($n) { if($n 1) return 1; else return fibonacci($n - 1) + fibonacci($n - 2); } for($i = 0; $i < 15; $i++) { echo fibonacci($i) . "<br />"; } ?>
No. Grapes have nothing to do with a recursive series of numbers following the rule that any number is the sum of the previous two.
20 is not a term in the Fibonacci series.
A recursive function is one in which the value of a function at each point depends on its value at one or more previous points. A rercursive function requires the first few values to be defined normally - these are called bases. Perhaps one of the most famous recursive function is the Fibonacci series, which has f(1) = 1 f(2) = 1 f(n) = f(n-1) + f(n-2) for n = 3, 4, 5, ... There are two bases and each subsequent value is defined in terms of the preceding two.
It is 354224848179261915075.
A Fibonacci number series is like the example below, 1,1,2,3,5,8,13,21,34,55,89,144,233,377,610...... and so on in general Fibonacci numbers are just the previous two numbers added together starting with 1 and 0 then goes on forever.
The sum of the previous two numbers in the series.
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.
1,1,2,3,5,8,13,21,34,55
According to the link, zero is the first number in the series.
The ratio of successive terms in the Fibonacci sequence approaches the Golden ratio as the number of terms increases.