Program to find Nth term of series 0, 11, 28, 51, 79, 115, 156, 203, ….

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

0, 11, 28, 51, 79, 115, 156, 203…..(N Terms)

Examples:



Input: N = 4
Output: 51
For N = 4
4th Term = ( 3 * 4 * 4 + 2 * 4 - 5) 
         = 51

Input: N = 10
Output: 314

Approach: The generalized Nth term of this series:

 nth\: Term\: of\: the\: series\: = 3*n^2+2*n-5  

Below is the required implementation:

C++

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// CPP program to find the N-th term of the series:
// 0, 11, 28, 51, 79, 115, 156, 203.....
#include <iostream>
#include <math.h>
using namespace std;
  
// calculate Nth term of series
int nthTerm(int n)
{
    return 3 * pow(n, 2) + 2 * n - 5;
}
  
// 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, 11, 28, 51, 79, 115, 156, 203.....
import java.io.*;
  
class GFG 
{
  
// calculate Nth term of series
static int nthTerm(int n)
{
    return 3 * (int) Math.pow(n, 2) + 
                           2 * n - 5;
}
  
// 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, 11, 28, 51, 79, 115, 156, 203.....
  
# calculate Nth term of series
def nthTerm(n):
  
    return 3 * pow(n, 2) + 2 * n - 5
  
# 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, 11, 28, 51, 79, 115, 156, 203.....
using System;
  
class GFG 
{
  
// calculate Nth term of series
static int nthTerm(int n)
{
    return 3 * (int) Math.Pow(n, 2) + 
                         2 * n - 5;
}
  
// Driver code
public static void Main ()
{
    int N = 4;
  
    Console.WriteLine(nthTerm(N));
}
}
  
// This code is contributed 
// by inder_verma

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PHP

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<?php
// PHP program to find the
// N-th term of the series:
// 0, 11, 28, 51, 79, 115, 156, 203.....
  
// calculate Nth term of series
function nthTerm($n)
{
    return 3 * pow($n, 2) + 2 * $n - 5;
}
  
// Driver code
$N = 4;
  
echo nthTerm($N) . "\n";
  
// This code is contributed 
// by Akanksha Rai(Abby_akku)

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Output:

51

Time Complexity: O(1)



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