Program to find Nth term of series 0, 9, 22, 39, 60, 85, 114, 147, …..

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

0, 9, 22, 39, 60, 85, 114, 147…..(N Terms)

Examples:



Input: N = 4
Output: 39
For N = 4
4th Term = ( 2 * 4 * 4 + 3 * 4 - 5) 
         = 39

Input: N = 10
Output: 224

Approach: The generalized Nth term of this series:

 nth\: Term\: of\: the\: series\: = 2*n^2+3*n-5  

Below is the required implementation:

C++

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// C++ program to find the N-th term of the series:
// 0, 9, 22, 39, 60, 85, 114, 147.....
#include <iostream>
#include <math.h>
using namespace std;
  
// calculate Nth term of series
int nthTerm(int n)
{
    return 2 * pow(n, 2) + 3 * n - 5;
}
  
// Driver code
int main()
{
    int N = 4;
  
    cout << nthTerm(N) << endl;
  
    return 0;
}

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Java

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// Java program to find the N-th term of the series: 
// 0, 9, 22, 39, 60, 85, 114, 147..... 
  
public class GFG {
      
    // calculate Nth term of series 
    static int nthTerm(int n) 
    
        return 2 * (int)Math.pow(n, 2) + 3 * n - 5
    
        
    // Driver code
    public static void main(String args[])
    {
        int N = 4
            
       System.out.println(nthTerm(N)); 
      
    }
    // This Code is contributed by ANKITRAI1
}

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Python3

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# Python3 program to find the
# N-th term of the series:
# 0, 9, 22, 39, 60, 85, 114, 147.....
  
# calculate Nth term of series
def nthTerm(n):
  
    return 2 * pow(n, 2) + 3 * n - 5
  
# Driver code
N = 4
print(nthTerm(N))
  
# This code is contributed by
# Sanjit_Prasad

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C#

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// C# program to find the
// N-th term of the series: 
// 0, 9, 22, 39, 60, 85, 114, 147..... 
using System;
  
class GFG
{
  
// calculate Nth term of series 
static int nthTerm(int n) 
    return 2 * (int)Math.Pow(n, 2) +
                        3 * n - 5; 
  
// Driver code
public static void Main()
{
    int N = 4; 
      
    Console.WriteLine(nthTerm(N)); 
}
}
  
// This Code is contributed
// by Akanksha Rai(Abby_akku)

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PHP

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<?php 
// PHP program to find the 
// N-th term of the series:
// 0, 9, 22, 39, 60, 85, 114, 147.....
  
// calculate Nth term of series
function nthTerm($n)
{
    return 2 * pow($n, 2) + 
           3 * $n - 5;
}
  
// Driver code
$N = 4;
echo nthTerm($N)."\n";
  
// This code is contributed
// by ChitraNayal
?>

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Output:

39

Time Complexity: O(1)



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