Given a number N, The task is to write a program to find the Nth term of the below series:
5, 12, 21, 32, 45……
Examples:
Input: N = 2 Output: 12 Input: N = 5 Output: 45
Approach:
The generalized Nth term of this series:
Nth Term : n*n + 4*n
Below is the required implementation:
C++
// CPP program to find// the N-th term of the series:// 5, 12, 21, 32, 45......#include <iostream>#include <math.h>using namespace std;// calculate Nth term of seriesint nthTerm(int n){ return pow(n, 2) + 4 * n;}// Driver codeint main(){ // Get N int N = 4; // Get the Nth term cout << nthTerm(N) << endl; return 0;} |
C
// C program to find// the N-th term of the series:// 5, 12, 21, 32, 45......#include <stdio.h>#include <math.h>// calculate Nth term of seriesint nthTerm(int n){ return pow(n, 2) + 4 * n;}// Driver codeint main(){ // Get N int N = 4; // Get the Nth term printf("%d\n",nthTerm(N)); return 0;}// This code is contributed by kothavvsaakash. |
Java
// Java program to find// the N-th term of the series:// 5, 12, 21, 32, 45......import java.io.*;class GFG { // calculate Nth term of seriesstatic int nthTerm(int n){ return (int)Math.pow(n, 2) + 4 * n;}// Driver code public static void main (String[] args) { // Get N int N = 4; // Get the Nth term System.out.println( nthTerm(N)); }}// This code is contributed// by inder_verma |
Python3
# Python3 program to find# the N-th term of the series:# 5, 12, 21, 32, 45......# calculate Nth term of seriesdef nthTerm(n): return n ** 2 + 4 * n;# Driver code# Get NN = 4# Get the Nth termprint(nthTerm(N))# This code is contributed by Raj |
C#
// C# program to find the // N-th term of the series:// 5, 12, 21, 32, 45......using System;class GFG{ // calculate Nth term of seriesstatic int nthTerm(int n){ return (int)Math.Pow(n, 2) + 4 * n;}// Driver codepublic static void Main () { // Get N int N = 4; // Get the Nth term Console.WriteLine(nthTerm(N));}}// This code is contributed// by sh.. |
PHP
<?php// PHP program to find// the N-th term of the series:// 5, 12, 21, 32, 45......// calculate Nth term of seriesfunction nthTerm($n){ return pow($n, 2) + 4 * $n;}// Driver code$N = 4;// Get the Nth termecho nthTerm($N);// This code is contributed// by Mahadev99?> |
Javascript
<script>// JavaScript program to find// the N-th term of the series:// 5, 12, 21, 32, 45......// calculate Nth term of seriesfunction nthTerm( n){ return Math.pow(n, 2) + 4 * n;}// Driver code // Get N let N = 4; // Get the Nth term document.write( nthTerm(N));// This code is contributed by todaysgaurav</script> |
Output:
32
Time complexity: O(1), since there is no loop or recursion.
Auxiliary Space: O(1), since no extra space has been taken.
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