Programa para encontrar el término N de la serie 0, 11, 28, 51, 79, 115, 156, 203, ….

Dado un número N. La tarea es escribir un programa para encontrar el N-ésimo término de la siguiente serie:
 

0, 11, 28, 51, 79, 115, 156, 203…..(Términos N)

Ejemplos: 
 

Input: N = 4
Output: 51
For N = 4
4th Term = ( 3 * 4 * 4 + 2 * 4 - 5) 
         = 51

Input: N = 10
Output: 314

Enfoque: El enésimo término generalizado de esta serie: 
 

A continuación se muestra la implementación requerida: 
 

// CPP program to find the N-th term of the series:
// 0, 11, 28, 51, 79, 115, 156, 203.....
#include <iostream>
#include <math.h>
using namespace std;
 
// calculate Nth term of series
int nthTerm(int n)
{
    return 3 * pow(n, 2) + 2 * n - 5;
}
 
// Driver code
int main()
{
    int N = 4;
 
    cout << nthTerm(N) << endl;
 
    return 0;
}

// Java program to find the
// N-th term of the series:
// 0, 11, 28, 51, 79, 115, 156, 203.....
import java.io.*;
 
class GFG
{
 
// calculate Nth term of series
static int nthTerm(int n)
{
    return 3 * (int) Math.pow(n, 2) +
                           2 * n - 5;
}
 
// Driver code
public static void main (String[] args)
{
    int N = 4;
 
    System.out.println(nthTerm(N));
}
}
 
// This code is contributed
// by anuj_67

# Python3 program to find the
# N-th term of the series:
# 0, 11, 28, 51, 79, 115, 156, 203.....
 
# calculate Nth term of series
def nthTerm(n):
 
    return 3 * pow(n, 2) + 2 * n - 5
 
# Driver code
N = 4
print(nthTerm(N))
 
# This code is contributed by
# Sanjit_Prasad

// C# program to find the
// N-th term of the series:
// 0, 11, 28, 51, 79, 115, 156, 203.....
using System;
 
class GFG
{
 
// calculate Nth term of series
static int nthTerm(int n)
{
    return 3 * (int) Math.Pow(n, 2) +
                         2 * n - 5;
}
 
// Driver code
public static void Main ()
{
    int N = 4;
 
    Console.WriteLine(nthTerm(N));
}
}
 
// This code is contributed
// by inder_verma

<?php
// PHP program to find the
// N-th term of the series:
// 0, 11, 28, 51, 79, 115, 156, 203.....
 
// calculate Nth term of series
function nthTerm($n)
{
    return 3 * pow($n, 2) + 2 * $n - 5;
}
 
// Driver code
$N = 4;
 
echo nthTerm($N) . "\n";
 
// This code is contributed
// by Akanksha Rai(Abby_akku)

<script>
// JavaScript program to find the N-th term of the series:
// 0, 11, 28, 51, 79, 115, 156, 203.....
 
// calculate Nth term of series
function nthTerm( n)
{
    return 3 * Math.pow(n, 2) + 2 * n - 5;
}
 
// Driver code
let N = 4;
 
    document.write( nthTerm(N));
 
// This code contributed by gauravrajput1
 
</script>

51

Complejidad de tiempo: O(1)

Complejidad espacial : O (1) ya que usa variables constantes