Programa para imprimir las series 1, 3, 4, 8, 15, 27, 50… hasta N términos

Dado un número N , la tarea es imprimir los primeros N términos de la siguiente serie:

1, 3, 4, 8, 15, 27, 50…

Ejemplos:

Entrada: N = 7 
Salida: 1, 3, 4, 8, 15, 27, 50
Entrada: N = 3 
Salida: 1, 3, 4 
 

Enfoque: De la serie dada podemos encontrar la fórmula para el N-ésimo término:

1er término = 1, 2do término = 3, 3er término = 4 
4to término = 1er término + 2do término + 3er término 
5to término = 2do término + 3er término + 4to término 
6to término = 3er término + 4to término + 5to término 
. 
. 
pronto 
 

Por lo tanto, la idea es hacer un seguimiento de los últimos tres términos de la serie y encontrar los términos consecutivos de la serie.

A continuación se muestra la implementación del enfoque anterior:

// C++ implementation to print the
// N terms of the series whose three
// terms are given
 
#include "bits/stdc++.h"
using namespace std;
 
// Function to print the series
void printSeries(int n, int a,
                 int b, int c)
{
 
    int d;
 
    // Generate the ith term and
    // print it
    if (n == 1) {
        cout << a << " ";
        return;
    }
    if (n == 2) {
        cout << a << " " << b << " ";
        return;
    }
 
    cout << a << " " << b
         << " " << c << " ";
 
    for (int i = 4; i <= n; i++) {
        d = a + b + c;
        cout << d << " ";
        a = b;
        b = c;
        c = d;
    }
}
 
// Driver Code
int main()
{
    int N = 7, a = 1, b = 3;
    int c = 4;
 
    // Function Call
    printSeries(N, a, b, c);
    return 0;
}

// Java implementation to print the
// N terms of the series whose three
// terms are given
  
//include "bits/stdJava.h"
import java.util.*;
class GFG{
  
// Function to print the series
static void printSeries(int n, int a,
                         int b, int c)
{
    int d;
  
    // Generate the ith term and
    // print it
    if (n == 1)
    {
        System.out.print(a + " ");
        return;
    }
    if (n == 2)
    {
        System.out.print(a + " " +  b + " ");
        return;
    }
  
    System.out.print(a + " " +
                     b + " " + 
                     c + " ");
  
    for (int i = 4; i <= n; i++)
    {
        d = a + b + c;
        System.out.print(d + " ");
        a = b;
        b = c;
        c = d;
    }
}
  
// Driver Code
public static void main(String[] args)
{
    int N = 7, a = 1, b = 3;
    int c = 4;
  
    // Function Call
    printSeries(N, a, b, c);
}
}
 
// This code is contributed by sapnasingh4991

# Python3 implementation to print the
# N terms of the series whose three
# terms are given
 
# Function to print the series
def printSeries(n, a, b, c):
 
    # Generate the ith term and
    # print it
    if (n == 1):
        print(a, end = " ");
        return;
     
    if (n == 2):
        print(a, b, end = " ");
        return;
     
    print(a, b, c, end = " ");
 
    for i in range (4, n + 1):
        d = a + b + c;
        print(d, end = " ");
        a = b;
        b = c;
        c = d;
     
# Driver Code
N = 7; a = 1; b = 3;
c = 4;
 
# Function Call
printSeries(N, a, b, c);
 
# This code is contributed by Code_Mech

// C# implementation to print the
// N terms of the series whose three
// terms are given
using System;
class GFG{
 
// Function to print the series
static void printSeries(int n, int a,
                        int b, int c)
{
    int d;
 
    // Generate the ith term and
    // print it
    if (n == 1)
    {
        Console.Write(a + " ");
        return;
    }
    if (n == 2)
    {
        Console.Write(a + " " +
                      b + " ");
        return;
    }
 
    Console.Write(a + " " +
                  b + " " +
                  c + " ");
 
    for(int i = 4; i <= n; i++)
    {
       d = a + b + c;
       Console.Write(d + " ");
 
       a = b;
       b = c;
       c = d;
    }
}
 
// Driver Code
public static void Main()
{
    int N = 7, a = 1, b = 3;
    int c = 4;
 
    // Function call
    printSeries(N, a, b, c);
}
}
 
// This code is contributed by rock cool

<script>
// javascript implementation to print the
// N terms of the series whose three
// terms are given
 
// Function to print the series
function printSeries( n,  a,
                  b,  c)
{
 
    let d;
 
    // Generate the ith term and
    // print it
    if (n == 1) {
        document.write( a + " ");
        return;
    }
    if (n == 2) {
        document.write( a + " " + b + " ");
        return;
    }
 
    document.write( a + " " + b
         + " " + c + " ");
 
    for (let i = 4; i <= n; i++) {
        d = a + b + c;
        document.write( d + " ");
        a = b;
        b = c;
        c = d;
    }
}
 
// Driver Code
 
    let N = 7, a = 1, b = 3;
    let c = 4;
 
    // Function Call
    printSeries(N, a, b, c);
     
// This code is contributed by gauravrajput1
 
</script>

1 3 4 8 15 27 50