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

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 seriesint nthTerm(int n){    return 6 * pow(n, 2) - 4 * n - 2;} // Driver codeint 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 seriesstatic int nthTerm(int n){     //return the final sum    return 6 * (int)Math.pow(n, 2) - 4 * n - 2;} // Driver codepublic 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 seriesdef nthTerm(n):    return int(6 * pow(n, 2) - 4 * n - 2) # Driver codeN = 4print(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 seriesstatic int nthTerm(int n){     //return the final sum    return 6 * (int)Math.Pow(n, 2) -                         4 * n - 2;} // Driver codepublic 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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