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# Program to find the Nth term of the series 0, 14, 40, 78, 124, …

• Difficulty Level : Easy
• Last Updated : 07 Aug, 2022

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

0, 14, 40, 78, 124 …(N Terms)

Examples:

Input: N = 4
Output: 78
For N = 4
Sum(upto 4 terms) = ( 6 * n * n - 4 * n - 2)
= ( 6 * 4 * 4 - 4 * 4 - 2)
=  78
Input: N = 10
Output: 557

Approach: The generalized Nth term of this series:

Below is the required implementation:

## C++

 // CPP program to find the N-th term of the series // 0, 14, 40, 78, 124 ... #include  #include  using namespace std;   // calculate sum upto Nth term of series int nthTerm(int n) {     return 6 * pow(n, 2) - 4 * n - 2; }   // Driver code int main() {     int N = 4;       cout << nthTerm(N);       return 0; }

## Java

 // Java program to find the N-th term of the series // 0, 14, 40, 78, 124 ... import java.util.*; class solution {   // calculate sum up to Nth term of series static int nthTerm(int n) {       //return the final sum     return 6 * (int)Math.pow(n, 2) - 4 * n - 2; }   // Driver code public static void main(String arr[]) {     int N = 4;       System.out.println(nthTerm(N));   } } //This code is contributed by Surendra_Gangwar

## Python3

 # Python3 program to find  # the N-th term of the series # 0, 14, 40, 78, 124 ...   # calculate sum upto Nth  # term of series def nthTerm(n):     return int(6 * pow(n, 2) - 4 * n - 2)   # Driver code N = 4 print(nthTerm(N))   # This code is contributed  # by Shrikant13

## C#

 // C# program to find the  // N-th term of the series // 0, 14, 40, 78, 124 ... using System;   class GFG {   // calculate sum up to Nth  // term of series static int nthTerm(int n) {       //return the final sum     return 6 * (int)Math.Pow(n, 2) -                          4 * n - 2; }   // Driver code public static void Main() {     int N = 4;       Console.WriteLine(nthTerm(N)); } }   // This code is contributed  // by inder_verma

## PHP

 

## Javascript

 

Output:

78`

Time Complexity: O(logN) because using inbuilt pow function

Space Complexity: O(1) since using constant variables

Note: Sum upto n terms of the above series(Sn) is:

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