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:

 nth\: Term\: of\: the\: series\: = 4*n^2-7n+3  

Below is the required implementation:

C++

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// 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;
}

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Java

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// 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)); 

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Python 3

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# 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

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C#

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// 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

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PHP

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<?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)
?>

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Output:

39

Time Complexity: O(1)



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