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

Difficulty Level : Medium
Last Updated : 17 Mar, 2021

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 [Tex] [/Tex]

Below is the implementation of the above approach:

C++

// 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;
}

Java

// 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));
 
}
}

Python3

# 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

C#

// 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

PHP

<?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
?>

Javascript

<script>
 
// javascript 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 * Math.pow(N, 2) - 3 * N + 2;
}
 
// driver code
 
    // declaration of number of terms
    let N = 10;
 
    // Get the Nth term
    document.write( getNthTerm(N));
     
// This code contributed by gauravrajput1
 
</script>

Output:

Time Complexity: O(1)

Attention reader! Don’t stop learning now. Get hold of all the important mathematical concepts for competitive programming with the Essential Maths for CP Course at a student-friendly price. To complete your preparation from learning a language to DS Algo and many more, please refer Complete Interview Preparation Course.

My Personal Notes

Related Articles

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

C++

Java

Python3

C#

PHP

Javascript