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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: 
 



nth\: Term\: of\: the\: series\: = 3*n^2+n-2 

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: 
50

 

Time Complexity: O(1)
 

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