Program to find Nth term of series 2, 12, 28, 50, 77, 112, 152, 198, …..

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

2, 12, 28, 50, 77, 112, 152, 198…..(N Terms)

Examples:

Input: N = 4
Output: 50
For N = 4
4th Term = ( 3 * 4 * 4 + 4 - 2) 
         = 50

Input: N = 10
Output: 307

Approach: The generalized Nth term of this series:

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

Below is the required implementation:

C++

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// C++ program to find the N-th term of the series:
// 2, 12, 28, 50, 77, 112, 152, 198, .....
#include <iostream>
#include <math.h>
using namespace std;
  
// calculate Nth term of series
int nthTerm(int n)
{
    return 3 * pow(n, 2) + n - 2;
}
  
// 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:
// 2, 12, 28, 50, 77, 112, 152, 198, .....
import java.util.*;
  
class solution
{
  
// calculate Nth term of series
static int nthTerm(int n)
{
return 3 *(int)Math.pow(n, 2) + n - 2
}
  
//Driver program
public static void main(String arr[])
{
      
    int N = 4;
    System.out.println(nthTerm(N));
}
  
}
//This code is contributed by Surendra_Gangwar

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Python3

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# Python3 program to find the
# N-th term of the series:
# 2, 12, 28, 50, 77, 112, 152, 198, .....
  
# calculate Nth term of series
def nthTerm(n):
  
    return 3 * pow(n, 2) + n - 2
  
# 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:
// 2, 12, 28, 50, 77, 112, 152, 198, .....
using System;
  
class GFG
{
  
// calculate Nth term of series
static int nthTerm(int n)
{
    return 3 * (int)Math.Pow(n, 2) +
                             n - 2; 
}
  
// Driver Code
public static void Main()
{
    int N = 4;
    Console.Write(nthTerm(N));
}
}
  
// This code is contributed 
// by ChitraNayal

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PHP

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<?php
// PHP program to find the 
// N-th term of the series:
// 2, 12, 28, 50, 77, 
// 112, 152, 198, .....
  
// calculate Nth term of series
function nthTerm($n)
{
    return 3 * pow($n, 2) + $n - 2;
}
  
// Driver code
$N = 4;
  
echo nthTerm($N) ;
  
// This code is contributed 
// by inder_verma
?>

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Output:

50

Time Complexity: O(1)



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