Program to find Nth term of series 2, 12, 28, 50, 77, 112, 152, 198, .....

Program to find Nth term of series 2, 12, 28, 50, 77, 112, 152, 198, …..

Last Updated : 10 Mar, 2021

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

2, 12, 28, 50, 77, 112, 152, 198…..(N Terms)

Examples:

Input: N = 4
Output: 50
For N = 4
4th Term = ( 3 * 4 * 4 + 4 - 2) 
         = 50

Input: N = 10
Output: 307

Approach: The generalized Nth term of this series:

Below is the required implementation:

C++

// C++ program to find the N-th term of the series:
// 2, 12, 28, 50, 77, 112, 152, 198, .....
#include <iostream>
#include <math.h>
using namespace std;
 
// calculate Nth term of series
int nthTerm(int n)
{
    return 3 * pow(n, 2) + n - 2;
}
 
// Driver code
int main()
{
    int N = 4;
 
    cout << nthTerm(N) << endl;
 
    return 0;
}

Java

// Java program to find the N-th term of the series:
// 2, 12, 28, 50, 77, 112, 152, 198, .....
import java.util.*;
 
class solution
{
 
// calculate Nth term of series
static int nthTerm(int n)
{
return 3 *(int)Math.pow(n, 2) + n - 2;
}
 
//Driver program
public static void main(String arr[])
{
     
    int N = 4;
    System.out.println(nthTerm(N));
}
 
}
//This code is contributed by Surendra_Gangwar

Python3

# Python3 program to find the
# N-th term of the series:
# 2, 12, 28, 50, 77, 112, 152, 198, .....
 
# calculate Nth term of series
def nthTerm(n):
 
    return 3 * pow(n, 2) + n - 2
 
# Driver code
N = 4
print(nthTerm(N))
 
# This code is contributed by
# Sanjit_Prasad

C#

// C# program to find the
// N-th term of the series:
// 2, 12, 28, 50, 77, 112, 152, 198, .....
using System;
 
class GFG
{
 
// calculate Nth term of series
static int nthTerm(int n)
{
    return 3 * (int)Math.Pow(n, 2) +
                             n - 2;
}
 
// Driver Code
public static void Main()
{
    int N = 4;
    Console.Write(nthTerm(N));
}
}
 
// This code is contributed
// by ChitraNayal

PHP

<?php
// PHP program to find the
// N-th term of the series:
// 2, 12, 28, 50, 77,
// 112, 152, 198, .....
 
// calculate Nth term of series
function nthTerm($n)
{
    return 3 * pow($n, 2) + $n - 2;
}
 
// Driver code
$N = 4;
 
echo nthTerm($N) ;
 
// This code is contributed
// by inder_verma
?>

Javascript

<script>
// JavaScript program to find the N-th term of the series:
// 2, 12, 28, 50, 77, 112, 152, 198, .....
 
// calculate Nth term of series
function nthTerm( n)
{
    return 3 * Math.pow(n, 2) + n - 2;
}
 
// Driver code
let N = 4;
 
   document.write( nthTerm(N) );
 
// This code contributed by gauravrajput1
 
</script>

Output:

Time Complexity: O(1)

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