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Find the nth term in the mixture of two series

 Consider the series:-

1, 1, 2, 3, 4, 9, 8, 27, 16, 81, 32, 243, 64 ...........and so on.

Find the nth term in the given series ? 

ex:-   9 th term      print 16

         6 th term      print  9

Note:- We have to print only nth term not the whole series up to nth term.


Explanation:- The given series is a combination of two geometric progression series.

First series ( odd positions ) :-  1, 2, 4, 8, 16, 32, 64, ........and so on.

                                                 20 , 21 , 22 , 23 , 24 , 25 ,…….

Second series (  even positions ) :- 1, 3, 9, 27, 81, 243,..... and so on.

                                                30 , 31 , 32 , 33 , 34 , 35 …….   

Java

 1
 2
 3
 4
 5
 6
 7
 8
 9
10
11
 
 import java.util.Scanner;
 public class Series{
     public static void main(String []args){
        Scanner sc = new Scanner(System.in);
        int n = sc.nextInt();
        if(n%2 != 0)
            System.out.print((int)Math.pow(2,(n-1)/2));
        else
            System.out.print((int)Math.pow(3,(n-1)/2));
     }
 }


Python

n = int(input())
if n%2 != 0:
    print(2**((n-1)//2))
else:
    print(3**((n-1)//2))

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