Find Nth term of the series 0, 6, 0, 12, 0, 90…

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

0, 6, 0, 12, 0, 90…

Examples:

Input : N = 4
Output : 12
For N = 4
Nth term = abs( 4 * ((4-1) * (4-3) * (4-5)) );
         = 12
Input : N = 6 
Output : 90


We can generalize the Nth term of the above series as:

Nth term = abs( N * ((N-1) * (N-3) * (N-5)) )

Below is the implementation of the above approach:

C++

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// CPP program to find N-th term of the series
// 0, 6, 0, 12, 0, 90...
  
#include <iostream>
using namespace std;
  
// Function to return the Nth term
int nthTerm(int N)
{
    return abs(N * ((N - 1) * (N - 3) * (N - 5)));
}
  
// Driver code
int main()
{
    int N = 6;
  
    cout << nthTerm(N);
  
    return 0;
}

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Java

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// Java program to find N-th term of the series
// 0, 6, 0, 12, 0, 90...
  
import java.io.*;
import java.lang.*;
  
class GFG {
    // Function to calculate Nth term of 
    // the series
    public static int nthTerm(int N)
    {
        // By using above formula
        return Math.abs(N * ((N - 1) * (N - 3) * (N - 5)));
    }
      
    // Driver code
    public static void main(String[] args)
    {
        int N = 6; // Nth term is 6
         
        System.out.println(nthTerm(N));
    }
}

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Python3

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# Python3 program to find N-th 
# term of the series 
# 0, 6, 0, 12, 0, 90...
  
# Function to return the Nth term 
def nthTerm(N) :
  
    return (abs(N * ((N - 1) * (N - 3
           * (N - 5))))
  
# Driver code     
if __name__ == "__main__" :
  
    N = 6
  
    # Function calling
    print(nthTerm(N))
  
  
# This code is contributed by 
# ANKITRAI1

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C#

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// C# program to find N-th term of the series
// 0, 6, 0, 12, 0, 90...
  
using System;
  
class GFG {
    // Function to calculate Nth term of 
    // the series
    public static int nthTerm(int N)
    {
        // By using above formula
        return Math.Abs(N * ((N - 1) * (N - 3) * (N - 5)));
    }
      
    // Driver code
    public static void Main()
    {
        int N = 6; // Nth term is 6
          
        Console.WriteLine(nthTerm(N));
    }
}
// This code is contributed by anuj_67.

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PHP

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<?php
// PHP program to find 
// N-th term of the series 
// 0, 6, 0, 12, 0, 90... 
  
// Function to return the Nth term 
function nthTerm( $N
    return abs($N * (($N - 1) * 
              ($N - 3) * ($N - 5))); 
  
// Driver code 
$N = 6; 
  
echo nthTerm($N); 
  
// This code is contributed
// by inder_verma..
?>

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Output:

90

Time Complexity: O(1)



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Improved By : inderDuMCA, AnkitRai01