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# Program to find Nth term of series 4, 14, 28, 46, 68, 94, 124, 158, …..

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

4, 14, 28, 46, 68, 94, 124, 158…..(N Terms)

Examples:

Input: N = 4
Output: 46
For N = 4
4th Term = ( 2 * 4 * 4 + 4 * 4 - 2)
= 46

Input: N = 10
Output: 237

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:// 4, 14, 28, 46, 68, 94, 124, 158, .....#include #include using namespace std; // calculate Nth term of seriesint nthTerm(int n){    return 2 * pow(n, 2) + 4 * n - 2;} // Driver codeint main(){    int N = 4;     cout << nthTerm(N) << endl;     return 0;}

## Java

 // Java program to find the N-th term of the series:// 4, 14, 28, 46, 68, 94, 124, 158, .....import java.util.*; class solution{  // calculate Nth term of seriesstatic int nthTerm(int n){     return 2 *(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:# 4, 14, 28, 46, 68, 94, 124, 158, ..... # calculate Nth term of seriesdef nthTerm(n):     return 2 * pow(n, 2) + 4 * n - 2 # Driver codeN = 4print(nthTerm(N)) # This code is contributed by# Sanjit_Prasad

## C#

 // C# program to find the// N-th term of the series:// 4, 14, 28, 46, 68, 94, 124, 158, .....using System; class GFG{ // calculate Nth term of seriesstatic int nthTerm(int n){    return 2 * (int)Math.Pow(n, 2) +                             4 * n - 2;} // Driver Codepublic static void Main(){    int N = 4;    Console.Write(nthTerm(N));}} // This code is contributed// by Sanjit_Prasad



## Javascript



Output:

46

Time Complexity: O(1), since there is no loop or recursion.

Space Complexity: O(1) since using constant variables