Program to find the Nth term of the series 3, 20, 63, 144, 230, ……

Given a series and a number N. The task is to find the Nth term of the given series:

3, 20, 63, 144, 230 …..

Examples:

Input: N = 4
Output: 144
When n = 4
nth term = 2 ( n * n * n ) + n * n
         = 2 ( 4 * 4 * 4 ) + 4 * 4
         = 144

Input: N = 10
Output: 2100

Approach: We can find the general term (Tn) of the given series. 

Below is the required implementation: 

C++

// CPP program to find N-th term of the series:
// 3, 20, 63, 144, 230 .....
#include <iostream>
#include <math.h>
using namespace std;

// calculate Nth term of series
int nthTerm(int n)
{
    return 2 * pow(n, 3) + pow(n, 2);
}

// Driver code
int main()
{
    int N = 3;

    cout << nthTerm(N);

    return 0;
}

Java

// Java program to find N-th term of the series:
// 3, 20, 63, 144, 230 .....
import java.util.*;

class solution
{

// calculate Nth term of series
static int nthTerm(int n)
{
    //return final sum
    return 2 *(int)Math.pow(n, 3) + (int)Math.pow(n, 2);
}

// Driver code
public static void main(String arr[])
{
    int N = 3;

System.out.println(nthTerm(N));

}

}
//This code is contributed by Surendra_Gangwar

Python 3

# Python program to find
# N-th term of the series:
# 3, 20, 63, 144, 230 .....

# calculate Nth term of series
def nthTerm(n) :

    return 2 * pow(n, 3) + pow(n, 2)

# Driver code
if __name__ == "__main__" :

    N = 3
    print(nthTerm(N))

# This code is contributed
# by ANKITRAI1

C#

// C# program to find N-th term of the series:
// 3, 20, 63, 144, 230 .....
using System;

class solution
{

// calculate Nth term of series
static int nthTerm(int n)
{
    //return final sum
    return 2 *(int)Math.Pow(n, 3) + (int)Math.Pow(n, 2);
}

// Driver code
public static void Main()
{
    int N = 3;

Console.WriteLine(nthTerm(N));

}

}
//This code is contributed by  Shashank

PHP

<?php
// PHP program to find
// N-th term of the series:
// 3, 20, 63, 144, 230 .....

// calculate Nth term of series
function nthTerm($n)
{
    return 2 * pow($n, 3) +
               pow($n, 2);
}

// Driver code
$N = 3;
echo nthTerm($N);

//This code is contributed by Shashank
?>

Javascript

<script>

// JavaScript program to find N-th term of the series:
// 3, 20, 63, 144, 230 .....

// calculate Nth term of series
function nthTerm( n)
{
    return 2 * Math.pow(n, 3) + Math.pow(n, 2);
}


// Driver code

    let N = 3;
   document.write( nthTerm(N) );

// This code contributed by aashish1995

</script>

Output:

63

Time Complexity: O(1), since there is no loop or recursion.

Auxiliary Space: O(1) since using constant variables