Program to find the Nth term of the series 0, 5, 18, 39, 67, 105, 150, 203, …

Given a number N. The task is to write a program to find the Nth term of the below series:

0, 5, 18, 39, 67, 105, 150, 203, …(N Terms)

Examples:

Input: N = 4
Output: 82
For N = 4
4th Term = ( 4 * 4 * 4 - 7 * 4 + 3) 
         = 39

Input: N = 10
Output: 332

Approach: The generalized Nth term of this series: 

Below is the required implementation: 

C++

// CPP program to find the N-th term of the series:
// 0, 5, 18, 39, 67, 105, 150, 203, ...
#include <iostream>
#include <math.h>
using namespace std;

// calculate Nth term of series
int nthTerm(int n)
{
    return 4 * pow(n, 2) - 7 * n + 3;
}

// Driver code
int main()
{
    int N = 4;

    cout << nthTerm(N);

    return 0;
}

Java

// Java program to find the N-th term of the series:
// 0, 5, 18, 39, 67, 105, 150, 203,

import java.util.*;
import java.lang.*;
import java.io.*;

class GFG
{
// calculate Nth term of series
static int nthTerm(int n)
{
    return 4 * (int)Math.pow(n, 2) - 7 * n + 3;
}

// Driver code
public static void  main(String args[])
{
    int N = 4;

    System.out.print(nthTerm(N));
}
}

Python 3

# Python 3 program to find the
# N-th term of the series:
# 0, 5, 18, 39, 67, 105, 150, 203, ...

# calculate Nth term of series
def nthTerm(n):

    return 4 * pow(n, 2) - 7 * n + 3

# Driver code
N = 4

print(nthTerm(N))

# This code is contributed by ash264

C#

// C# program to find the
// N-th term of the series:
// 0, 5, 18, 39, 67, 105, 150, 203,
using System;

class GFG
{
// calculate Nth term of series
static int nthTerm(int n)
{
    return 4 * (int)Math.Pow(n, 2) -
                        7 * n + 3;
}

// Driver code
static public void Main ()
{
    int N = 4;

    Console.Write(nthTerm(N));
}
}

// This code is contributed by Raj

PHP

<?php
// PHP program to find the
// N-th term of the series:
// 0, 5, 18, 39, 67, 105, 150, 203, ...

// calculate Nth term of series
function nthTerm($n)
{
    return 4 * pow($n, 2) -
           7 * $n + 3;
}

// Driver code
$N = 4;

echo nthTerm($N);

// This code is contributed
// by Akanksha Rai(Abby_akku)
?>

Javascript

<script>

// JavaScript program to find the N-th term of the series:
// 0, 5, 18, 39, 67, 105, 150, 203, ...

// calculate Nth term of series
function nthTerm( n)
{
    return 4 * Math.pow(n, 2) - 7 * n + 3;
}
// driver code
  // declaration of number of terms
   let N = 4;
   document.write( nthTerm(N) );

// This code contributed by gauravrajput1

</script>

Output:

39

Time Complexity: O(1)

Space Complexity: O(1) since using constant variables