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Program to find Nth term of series 3, 12, 29, 54, 86, 128, 177, 234, …..

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

3, 12, 29, 54, 86, 128, 177, 234, …..(N Terms)


Examples: 
 

Input: N = 4
Output: 54
For N = 4
4th Term = (4 * 4 * 4 - 3 * 4 + 2) 
         = 54

Input: N = 10
Output: 371


 


Approach: The generalized Nth term of this series: 
 

nth\: Term\: of\: the\: series\: = 4*n^2-3*n+2 


Below is the required implementation: 
 

C++

// C++ program to find the N-th term of the series:
// 3, 12, 29, 54, 86, 128, 177, 234, .....
#include <iostream>
#include <math.h>
using namespace std;
 
// calculate Nth term of series
int nthTerm(int n)
{
    return 4 * pow(n, 2) - 3 * 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:
// 3, 12, 29, 54, 86, 128, 177, 234, ..... 
 
public class GFG {
     
    // calculate Nth term of series
    static int nthTerm(int n)
    {
        return 4 * (int)Math.pow(n, 2) - 3 * n + 2 ;
    }
       
    // Driver code
    public static void main(String args[])
    {
        int N = 4;
           
       System.out.println(nthTerm(N));
     
    }
    // This Code is contributed by ANKITRAI1
}

                    

Python3

# Python3 program to find the
# N-th term of the series:
# 3, 12, 29, 54, 86, 128, 177, 234, .....
 
# calculate Nth term of series
def nthTerm(n):
 
    return 4 * pow(n, 2) - 3 * 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:
// 3, 12, 29, 54, 86, 128, 177, 234,...
using System;
 
class GFG
{
 
// calculate Nth term of series
static int nthTerm(int n)
{
    return 4 * (int)Math.Pow(n, 2) -
                        3 * n + 2 ;
}
 
// Driver code
public static void Main()
{
    int N = 4;
     
    Console.WriteLine(nthTerm(N));
}
}
 
// This Code is contributed
// by inder_verma

                    

PHP

<?php
// PHP program to find the
// N-th term of the series:
// 3, 12, 29, 54, 86, 128, 177, 234, ...
 
// calculate Nth term of series
function nthTerm($n)
{
    return 4 * pow($n, 2) -
           3 * $n + 2;
}
 
// Driver code
$N = 4;
 
echo nthTerm($N) . "\n";
 
// This code is contributed
// by ChitraNayal
?>

                    

Javascript

<script>
 
// JavaScript program to find the N-th term of the series:
// 3, 12, 29, 54, 86, 128, 177, 234, .....
 
// calculate Nth term of series
function nthTerm( n)
{
    return 4 * Math.pow(n, 2) - 3 * n + 2;
}
 
// Driver code
    let N = 4;
    document.write( nthTerm(N));
 
// This code is contributed by todaysgaurav
 
</script>

                    

Output: 
54

 

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

Space Complexity: O(1) since using constant variables
 



Last Updated : 20 Aug, 2022
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