n-th term in series 2, 12, 36, 80, 150….

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Given a series 2, 12, 36, 80, 150.. Find the n-th term of the series.
Examples :

Input : 2
Output : 12

Input : 4
Output : 80

If we take a closer look, we can notice that series is sum of squares and cubes of natural numbers (1, 4, 9, 16, 25, …..) + (1, 8, 27, 64, 125, ….).
Therefore n-th number of the series is n^2 + n^3

C++

// CPP program to find n-th term of 
// the series  2, 12, 36, 80, 150, .. 
#include <iostream> 
using namespace std; 
  
// Returns n-th term of the series 
// 2, 12, 36, 80, 150 
int nthTerm(int n) 
{ 
    return (n * n) + (n * n * n); 
} 
  
// driver code 
int main() 
{ 
    int n = 4; 
    cout << nthTerm(n); 
    return 0; 
} 

Java

//java program to find n-th term of 
// the series 2, 12, 36, 80, 150, .. 
import java.util.*; 
  
class GFG 
{ 
    // Returns n-th term of the series 
    // 2, 12, 36, 80, 150 
    public static int nthTerm(int n) 
    { 
        return (n * n) + (n * n * n); 
    } 
      
    // Driver code  
    public static void main(String[] args) 
    { 
        int n = 4; 
        System.out.print(nthTerm(n)); 
    } 
} 
  
// This code is contributed by rishabh_jain 

Python3

# Python3 code to find n-th term of 
# the series 2, 12, 36, 80, 150, .. 
  
# Returns n-th term of the series 
# 2, 12, 36, 80, 150 
def nthTerm( n ): 
    return (n * n) + (n * n * n) 
  
# driver code 
n = 4
print( nthTerm(n)) 
  
# This code is contributed  
# by "Sharad_Bhardwaj". 

C#

// C# program to find n-th term of 
// the series 2, 12, 36, 80, 150, .. 
using System; 
  
class GFG 
{ 
    // Returns n-th term of the series 
    // 2, 12, 36, 80, 150 
    public static int nthTerm(int n) 
    { 
        return (n * n) + (n * n * n); 
    } 
      
    // Driver code  
    public static void Main() 
    { 
        int n = 4; 
        Console.WriteLine(nthTerm(n)); 
    } 
} 
  
// This code is contributed by vt_m. 

PHP

<?php 
// PHP program to find n-th term of 
// the series 2, 12, 36, 80, 150, .. 
  
// Returns n-th term of the series 
// 2, 12, 36, 80, 150 
function nthTerm($n) 
{ 
    return ($n * $n) + ($n * $n * $n); 
} 
  
// driver code 
$n = 4; 
echo(nthTerm($n)); 
  
// This code is contributed by Ajit. 
?> 

Javascript

<script> 
// Javascript program to find n-th term of 
// the series 2, 12, 36, 80, 150, .. 
  
// Returns n-th term of the series 
// 2, 12, 36, 80, 150 
function nthTerm(n) 
{ 
    return (n * n) + (n * n * n); 
} 
  
// driver code 
let n = 4; 
document.write(nthTerm(n)); 
  
// This code is contributed by gfgking 
</script>

Output :

Time complexity: O(1) as only single step is required to calculate nth term from given formula

Auxiliary Space: O(1)

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