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Program to find Nth term of series 0, 7, 18, 33, 51, 75, 102, 133, …..

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  • Last Updated : 05 Aug, 2022

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

0, 7, 18, 33, 51, 75, 102, 133, …(N Terms)

Examples: 
 

Input: N = 4
Output: 33
For N = 4
4th Term = ( 2 * 4 * 4 + 4 - 3) 
         = 33

Input: N = 10
Output: 206

 

Approach: The generalized Nth term of this series: 
 

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

Below is the required implementation: 
 

C++




// C++ program to find the N-th term of the series:
// 0, 7, 18, 33, 51, 75, 102, .....
#include <iostream>
#include <math.h>
using namespace std;
 
// calculate Nth term of series
int nthTerm(int n)
{
    return 2 * pow(n, 2) + n - 3;
}
 
// 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:
// 0, 7, 18, 33, 51, 75, 102, .....
 
import java.io.*;
 
class GFG {
  
 
// calculate Nth term of series
static int nthTerm(int n)
{
    return 2 * (int)Math.pow(n, 2) + n - 3;
}
 
// Driver code
 
    public static void main (String[] args) {
            int N = 4;
 
    System.out.println( nthTerm(N));
    }
}
// This code is contributed
// by anuj_67..

Python3




# Python3 program to find the
# N-th term of the series:
# 0, 7, 18, 33, 51, 75, 102, .....
 
# calculate Nth term of series
def nthTerm(n):
 
    return 2 * pow(n, 2) + n - 3
 
# 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:
// 0, 7, 18, 33, 51, 75, 102, .....
using System;
 
class GFG
{
 
// calculate Nth term of series
static int nthTerm(int n)
{
    return 2 * (int)Math.Pow(n, 2) + n - 3;
}
 
// 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:
// 0, 7, 18, 33, 51, 75, 102,...
 
// calculate Nth term of series
function nthTerm($n)
{
    return 2 * pow($n, 2) + $n - 3;
}
 
// Driver code
$N = 4;
 
echo nthTerm($N) + "\n";
 
// This code is contributed
// by Akanksha Rai(Abby_akku)
?>

Javascript




<script>
 
// JavaScript program to find the N-th term of the series:
// 0, 7, 18, 33, 51, 75, 102, .....
 
// calculate Nth term of series
function nthTerm( n)
{
    return 2 * Math.pow(n, 2) + n - 3;
}
 
// Driver code
 
let N = 4;
 
   document.write( nthTerm(N) );
 
// This code contributed by gauravrajput1
 
</script>

Output: 

33

 

Time Complexity: O(1)

Auxiliary Space: O(1) since using constant variables
 


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