Program to find Nth term of series 4, 14, 28, 46, 68, 94, 124, 158, …..

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

4, 14, 28, 46, 68, 94, 124, 158…..(N Terms)

Examples:



Input: N = 4
Output: 46
For N = 4
4th Term = ( 2 * 4 * 4 + 4 * 4 - 2) 
         = 46

Input: N = 10
Output: 237

Approach: The generalized Nth term of this series:

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

Below is the required implementation:

C++

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// CPP program to find the N-th term of the series:
// 4, 14, 28, 46, 68, 94, 124, 158, .....
#include <iostream>
#include <math.h>
using namespace std;
  
// calculate Nth term of series
int nthTerm(int n)
{
    return 2 * pow(n, 2) + 4 * 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:
// 4, 14, 28, 46, 68, 94, 124, 158, .....
import java.util.*;
  
class solution
{
   
// calculate Nth term of series
static int nthTerm(int n)
{
  
    return 2 *(int)Math.pow(n, 2) + 4 * n - 2;
  
  
//Driver code
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:
# 4, 14, 28, 46, 68, 94, 124, 158, .....
  
# calculate Nth term of series
def nthTerm(n):
  
    return 2 * pow(n, 2) + 4 * 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: 
// 4, 14, 28, 46, 68, 94, 124, 158, ..... 
using System; 
  
class GFG 
  
// calculate Nth term of series 
static int nthTerm(int n) 
    return 2 * (int)Math.Pow(n, 2) + 
                             4 * n - 2; 
  
// Driver Code 
public static void Main() 
    int N = 4; 
    Console.Write(nthTerm(N)); 
  
// This code is contributed
// by Sanjit_Prasad

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PHP

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<?php
// PHP program to find the
// N-th term of the series:
// 4, 14, 28, 46, 68, 94, 124, 158, .....
  
// calculate Nth term of series
function nthTerm($n)
{
    return 2 * pow($n, 2) + 4 * $n - 2;
}
  
// Driver code
$N = 4;
  
echo nthTerm($N) . "\n";
  
// This code is contributed 
// by Akanksha Rai(Abby_akku)
?>

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Output:

46

Time Complexity: O(1)



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