Given a number N. The task is to write a program to find the Nth term in the below series:
3, 6, 18, 24, 45, 54...(Nth term)
Examples:
Input: N = 5
Output: 45
Explanation:
For N = 5,
Nth term = ( N * ( (N/2) + ( (N%2) * 2) + N )
= ( 5 * ( (5/2) + ( (5%2) * 2) + 5 )
= ( 5 * ( 2 + ( 1 * 2) + 5 )
= 45
Input : 6
Output : 54
Generalized Nth term of this series:
Nth term = ( N * ( (N/2) + ((N%2) * 2) + N )
Below is the implementation of the above approach:
C++
// CPP program to find N-th term of the series:// 3, 6, 18, 24, 45, 54...#include <iostream>using namespace std;// function to calculate Nth term of seriesint nthTerm(int N){ // By using above formula return (N * ((N / 2) + ((N % 2) * 2) + N));}// Driver Functionint main(){ // get the value of N int N = 5; // Calculate and print the Nth term cout << "Nth term for N = " << N << " : " << nthTerm(N); return 0;} |
Java
import java.io.*;// Class to calculate Nth term of seriesclass Nth { public int nthTerm(int N) { // By using above formula return (N * ((N / 2) + ((N % 2) * 2) + N)); }}// Main class for main methodclass GFG { public static void main(String[] args) { // get the value of N int N = 5; // create object of Class Nth Nth a = new Nth(); // Calculate and print the Nth term System.out.println("Nth term for N = " + N + " : " + a.nthTerm(N)); }} |
Python3
# Python3 program to find N-th term of the series: # 3, 6, 18, 24, 45, 54... # function to calculate Nth term of series def nthTerm( N): # By using above formula return (N * ((N // 2) + ((N % 2) * 2) + N)) # Driver Function # get the value of N if __name__=='__main__': N = 5 # Calculate and print the Nth term print( "Nth term for N = ", N ," : ", nthTerm(N)) # This code is contributed by ash264 |
C#
// C# program to find N-th // term of the series:// 3, 6, 18, 24, 45, 54...using System;class GFG{public int nthTerm(int N){ // By using above formula return (N * ((N / 2) + ((N % 2) * 2) + N));}// Driver Codepublic static void Main(){ // get the value of N int N = 5; // create object of Class Nth GFG a = new GFG(); // Calculate and print the Nth term Console.WriteLine("Nth term for N = " + N + " : " + a.nthTerm(N));}}// This code is contributed // by inder_verma.. |
PHP
<?php// PHP program to find N-th term // of the series: 3, 6, 18, 24, 45, 54... // Function to calculate Nth term of seriesfunction nthTerm($N){ // By using abeove formula return ($N * ((int)($N / 2) + (($N % 2) * 2) + $N)); }// Driver code// get the value of nthTerm$N = 5;// Calculate and print the Nth termecho "Nth term for N = ", $N, " : ", nthTerm($N);// This code is contributed by// Shashank_Sharma?> |
Javascript
<script>// JavaScript program to find N-th term of the series:// 3, 6, 18, 24, 45, 54...// function to calculate Nth term of seriesfunction nthTerm( N){ // By using above formula return parseInt(N * (parseInt(N / 2) + ((N % 2) * 2) + N));} // Driver Function // get the value of N let N = 5; // Calculate and print the Nth term document.write( "Nth term for N = " + N +" : " + nthTerm(N));// This code is contributed by todaysgaurav </script> |
Output:
Nth term for N = 5 : 45
Time Complexity: O(1)
Auxiliary Space: O(1) because using constant variables
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