Given a number 
. The task is to find the N-th term in the following series:
14, 28, 20, 40, 32, 64…..
Examples:
Input : N = 5 Output : 32 Input : N = 6 Output : 64
Approach:
- Initialize first number with 14.
- Run a loop from i = 2 to N and do following steps:
- For Even i, double the previous term. For example if i = 2, current term will be 2*(term when i = 1), that is 2*14 = 28.
- For Odd i, subtract 8 from the previous term.
- Exit the loop and print the final number.
Below is the implementation of the above approach:
C++
// CPP program to find the Nth term of// the series 14, 28, 20, 40, …..#include <iostream>using namespace std;// Function to find the N-th termint findNth(int N){ // initializing the 1st number int b = 14; int i; // loop from 2nd term to nth term for (i = 2; i <= N; i++) { // if i is even, double the // previous number if (i % 2 == 0) b = b * 2; // if i is odd, subtract 8 from // previous number else b = b - 8; } return b;}// Driver Codeint main(){ int N = 6; cout << findNth(N); return 0;} |
Java
// Java program to find the Nth term of// the series 14, 28, 20, 40,import java.io.*;class GFG { // Function to find the N-th term static int findNth(int N){ // initializing the 1st number int b = 14; int i; // loop from 2nd term to nth term for (i = 2; i <= N; i++) { // if i is even, double the // previous number if (i % 2 == 0) b = b * 2; // if i is odd, subtract 8 from // previous number else b = b - 8; } return b;}// Driver Code public static void main (String[] args) { int N = 6; System.out.print(findNth(N)); }}// This code is contributed by shs |
Python 3
# Python 3 program to find the Nth term # of the series 14, 28, 20, 40, …..# Function to find the N-th termdef findNth(N): # initializing the 1st number b = 14 # loop from 2nd term to nth term for i in range (2, N + 1): # if i is even, double the # previous number if (i % 2 == 0): b = b * 2 # if i is odd, subtract 8 from # previous number else: b = b - 8 return b# Driver CodeN = 6print(findNth(N))# This code is contributed# by Akanksha Rai |
C#
// C# program to find the Nth term of// the series 14, 28, 20, 40,using System;public class GFG{ // Function to find the N-th termstatic int findNth(int N){ // initializing the 1st number int b = 14; int i; // loop from 2nd term to nth term for (i = 2; i <= N; i++) { // if i is even, double the // previous number if (i % 2 == 0) b = b * 2; // if i is odd, subtract 8 from // previous number else b = b - 8; } return b;}// Driver Code static public void Main (){ int N = 6; Console.WriteLine(findNth(N)); }}// This code is contributed by ajit |
PHP
<?php// PHP program to find the Nth term of// the series 14, 28, 20, 40, …..// Function to find the N-th termfunction findNth($N){ // initializing the 1st number $b = 14; // loop from 2nd term to nth term for ($i = 2; $i <= $N; $i++) { // if i is even, double the // previous number if ($i % 2 == 0) $b = $b * 2; // if i is odd, subtract 8 from // previous number else $b = $b - 8; } return $b;}// Driver Code$N = 6;echo findNth($N);// This code is contributed by akt_mit?> |
Javascript
<script>// java script program to find the Nth term of// the series 14, 28, 20, 40, …..// Function to find the N-th termfunction findNth(N){ // initializing the 1st number let b = 14; // loop from 2nd term to nth term for (let i = 2; i <= N; i++) { // if i is even, double the // previous number if (i % 2 == 0) b = b * 2; // if i is odd, subtract 8 from // previous number else b = b - 8; } return b;}// Driver CodeN = 6;document.write(findNth(N));// This code is contributed // by pulamolu mohan pavan cse</script> |
Output:
64
Time Complexity: O(N)
Auxiliary Space: O(1)
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