Program to find Nth term of the series 3, 12, 29, 54, 87, …

Given a number N, the task is to find the Nth term of this series:

3, 12, 29, 54, 87, ………….

Examples:

Input: N = 4
Output: 54
Explanation:
Nth term = 4 * pow(n, 2) - 3 * n + 2
         = 4 * pow(4, 2) - 3 * 4 + 2
         = 54

Input: N = 10
Output: 372

Approach:

The Nth Term of the given series is:



Nth term of the series T_n = 4 * n * n - 3 * n + 2

Below is the implementation of the above approach:

C++

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// CPP program to find N-th term of the series:
// 3, 12, 29, 54, 87, ...
  
#include <iostream>
#include <math.h>
using namespace std;
  
// calculate Nth term of series
int getNthTerm(long long int N)
{
    // Return Nth term
    return 4 * pow(N, 2) - 3 * N + 2;
}
  
// driver code
int main()
{
    // declaration of number of terms
    long long int N = 10;
  
    // Get the Nth term
    cout << getNthTerm(N);
  
    return 0;
}

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Java














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// Java program to find N-th term of the series: 


// 3, 12, 29, 54, 87, ... 


  


import java.util.*; 


class solution 


{ 


  


static long getNthTerm(long N) 


{ 


    // Return Nth term 


    return 4 *(long)Math.pow(N, 2) - 3 * N + 2; 


} 


  


//Driver code 


public static void main(String arr[]) 


{ 


// declaration of number of terms 


    long N = 10; 


  


    // Get the Nth term 


    System.out.println(getNthTerm(N)); 


  


} 


} 



















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Python3














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# Python3 program to find N-th term of the series: 


# 3, 12, 29, 54, 87, ... 


  


# calculate Nth term of series 


def getNthTerm(N): 


  


    # Return Nth term 


    return 4 * pow(N, 2) - 3 * N + 2


  


# driver code 


if __name__=='__main__': 


      


    # declaration of number of terms 


    N = 10


  


    # Get the Nth term 


    print(getNthTerm(N)) 


  


# This code is contributed by 


# Sanjit_Prasad 



















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C#














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// C# program to find  


// N-th term of the series: 


// 3, 12, 29, 54, 87, ... 


using System; 


  


class GFG 


{ 


static long getNthTerm(long N) 


{ 


    // Return Nth term 


    return 4 * (long)Math.Pow(N, 2) -  


                         3 * N + 2; 


} 


  


// Driver code 


static public void Main () 


{  


  


    // declaration of number 


    // of terms 


    long N = 10; 


      


    // Get the Nth term 


    Console.Write(getNthTerm(N)); 


} 


} 


  


// This code is contributed by Raj 



















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PHP














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<?php 


// PHP program to find 


// N-th term of the series: 


// 3, 12, 29, 54, 87, ... 


  


// calculate Nth term of series 


function getNthTerm($N) 


{ 


    // Return Nth term 


    return 4 * pow($N, 2) -  


           3 * $N + 2; 


} 


  


// Driver code 


  


// declaration of number of terms 


$N = 10; 


  


// Get the Nth term 


echo getNthTerm($N); 


  


// This code is contributed  


// by inder_verma 


?> 



















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Output:


372





Time Complexity: O(1)


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