Find n-th term of series 1, 4, 27, 16, 125, 36, 343 …….

Given a number n, find the n-th term in the series 1, 4, 27, 16, 125, 36, 343……..
Examples: 

Input : 5
Output : 125

Input : 6
Output : 36

Naive approach : In this Sequence, if the Nth term is even then the Nth term is square of N else Nth term is a cube of N.

N = 5 
In this case, N is odd 
N = N * N * N 
N = 5 * 5 * 5 
N = 125
Similarly, 
N = 6 
N = N * N 
N = 6 * 6 
N = 36 and so on.. 

Implementation of the above approach is given below: 

C++

// CPP code to generate first 'n' terms
// of Logic sequence
#include <bits/stdc++.h>
using namespace std;

// Function to generate a fixed \number
int logicOfSequence(int N)
{
    if (N % 2 == 0)
        N = N * N;
    else
        N = N * N * N;
    return N;
}

// Driver Method
int main()
{
    int N = 6;
    cout << logicOfSequence(N) << endl;
    return 0;
}

Java

// JAVA code to generate first
// 'n' terms of Logic sequence

class GFG {

// Function to generate
// a fixed \number
public static int logicOfSequence(int N)
{
    if (N % 2 == 0)
        N = N * N;
    else
        N = N * N * N;
    return N;
}

// Driver Method
public static void main(String args[])
{
    int N = 6;
    System.out.println(logicOfSequence(N));
}
}

// This code is contributed by Jaideep Pyne

Python 3

# Python code to generate first
# 'n' terms of Logic sequence

# Function to generate a fixed
# number
def logicOfSequence(N):
    if(N % 2 == 0):
        N = N * N
    else:
        N = N * N * N
    return N

N = 6
print (logicOfSequence(N))

# This code is contributed by
# Vishal Gupta

C#

// C# code to generate first
// 'n' terms of Logic sequence
using System;

class GFG {

// Function to generate
// a fixed number
public static int logicOfSequence(int N)
{
    if (N % 2 == 0)
        N = N * N;
    else
        N = N * N * N;
    return N;
}

// Driver Method
public static void Main()
{
    int N = 6;
    Console.Write(logicOfSequence(N));
}
}

// This code is contributed by nitin mittal

PHP

<?php
// PHP code to generate first 'n' terms
// of Logic sequence

// Function to generate a fixed number
function logicOfSequence($N)
{
    if ($N % 2 == 0)
        $N = $N * $N;
    else
        $N = $N * $N * $N;
    return $N;
}

    // Driver Code
    $N = 6;
    echo logicOfSequence($N);

// This code is contributed by nitin mittal.
?>

Javascript

<script>
// JavaScript code to generate first 'n' terms
// of Logic sequence

// Function to generate a fixed \number
function logicOfSequence( N)
{
    if (N % 2 == 0)
        N = N * N;
    else
        N = N * N * N;
    return N;
}

// Driver Function

    let N = 6;
    document.write(logicOfSequence(N));

// This code contributed by Rajput-Ji

</script>

Output: 

36

Time Complexity: O(1)

Auxiliary Space: O(1)