Given a number N. The task is to write a program to find the Nth term of the below series:
1, 6, 17, 34, 56, 86, 121, 162, …..(N Terms)
Examples:
Input: N = 4
Output: 34
For N = 4
4th Term = ( 3 * 4 * 4 - 4 * 4 + 2)
= 34
Input: N = 10
Output: 261
Approach: The generalized Nth term of this series:
Below is the required implementation:
C++
// C++ program to find the N-th term of the series:// 1, 6, 17, 34, 56, 86, 121, 162, .....#include <iostream>#include <math.h>using namespace std;// calculate Nth term of seriesint nthTerm(int n){ return 3 * 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: // 1, 6, 17, 34, 56, 86, 121, 162, ..... public class GFG { // calculate Nth term of series static int nthTerm(int n) { return 3 * (int) Math.pow(n, 2) - 4 * n + 2; } // Driver code public static void main(String args[]) { int N = 4; System.out.println(nthTerm(N)); } // This Code is contributed by ANKITRAI1} |
Python3
# Python program to find the # N-th term of the series:# 1, 6, 17, 34, 56, 86, 121, 162, .....# calculate Nth term of seriesdef nthTerm(n): return 3 * 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: // 1, 6, 17, 34, 56, 86, 121, 162, ..... using System;class GFG { // calculate Nth term of series static int nthTerm(int n) { return 3 * (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 ChitraNayal |
PHP
<?php // PHP program to find the // N-th term of the series:// 1, 6, 17, 34, 56, 86, 121, 162, .....// calculate Nth term of seriesfunction nthTerm($n){ return 3 * pow($n, 2) - 4 * $n + 2;}// Driver code$N = 4;echo nthTerm($N)."\n";// This code is contributed // by ChitraNayal?> |
Javascript
<script>// JavaScript program to find the N-th term of the series:// 1, 6, 17, 34, 56, 86, 121, 162, .....// calculate Nth term of seriesfunction nthTerm(n){ return 3 * Math.pow(n, 2) - 4 * n + 2;}// Driver codelet N = 4; document.write( nthTerm(N) );// This code contributed by gauravrajput1</script> |
Output:
34
Time Complexity: O(1), since there is no loop or recursion.
Space Complexity: O(1) since using constant variables
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