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

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++

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// 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;
}

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Java

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// 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..

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Python3

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# 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

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C#

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// 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

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PHP

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<?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)
?>

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Output:

33

Time Complexity: O(1)



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