Program to find the Nth term of series 5, 12, 21, 32, 45……

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

5, 12, 21, 32, 45……

Examples:



Input: N = 2
Output: 12

Input: N = 5
Output: 45

Approach:
The generalized Nth term of this series:

Nth Term : n*n + 4*n

Below is the required implementation:

C++

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// CPP program to find
// the N-th term of the series:
// 5, 12, 21, 32, 45......
  
#include <iostream>
#include <math.h>
using namespace std;
  
// calculate Nth term of series
int nthTerm(int n)
{
    return pow(n, 2) + 4 * n;
}
  
// Driver code
int main()
{
  
    // Get N
    int N = 4;
  
    // Get the Nth term
    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:
// 5, 12, 21, 32, 45......
import java.io.*;
  
class GFG {
      
  
  
// calculate Nth term of series
static int nthTerm(int n)
{
    return (int)Math.pow(n, 2) + 4 * n;
}
  
// Driver code
  
    public static void main (String[] args) {
      
    // Get N
    int N = 4;
  
    // Get the Nth term
    System.out.println( nthTerm(N));
  
    }
}
// This code is contributed
// by  inder_verma

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Python3

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# Python3 program to find
# the N-th term of the series:
# 5, 12, 21, 32, 45......
  
# calculate Nth term of series
def nthTerm(n):
    return n ** 2 + 4 * n;
  
# Driver code
  
# Get N
N = 4
  
# Get the Nth term
print(nthTerm(N))
  
# This code is contributed by Raj

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C#

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// C# program to find the 
// N-th term of the series:
// 5, 12, 21, 32, 45......
using System;
  
class GFG
{
      
// calculate Nth term of series
static int nthTerm(int n)
{
    return (int)Math.Pow(n, 2) + 4 * n;
}
  
// Driver code
public static void Main () 
{
  
    // Get N
    int N = 4;
      
    // Get the Nth term
    Console.WriteLine(nthTerm(N));
}
}
  
// This code is contributed
// by sh..

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PHP

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<?php
// PHP program to find
// the N-th term of the series:
// 5, 12, 21, 32, 45......
  
// calculate Nth term of series
function nthTerm($n)
{
    return pow($n, 2) + 4 * $n;
}
  
// Driver code
$N = 4;
  
// Get the Nth term
echo nthTerm($N);
  
// This code is contributed
// by Mahadev99
?>

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Output:

32


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Improved By : Mahadev99, inderDuMCA, vt_m, R_Raj