Given an integer N, the task is to find the Nth term of the series
2, 8, 18, 32, 50, ….till N terms
Examples:
Input: N = 4
Output: 32Input: N = 6
Output: 72
Approach:
From the given series, find the formula for Nth term-
1st term = 2 * 1 ^ 2 = 2
2nd term = 2 * 2 ^ 2 = 8
3rd term = 2 * 3 ^ 2 = 18
4th term = 2 * 4 ^ 2 = 32
.
.
Nth term = 2 * N ^ 2
The Nth term of the given series can be generalized as-
TN = 2 * N ^ 2
Illustration:
Input: N = 6
Output: 72
Explanation:
TN= 2 * N ^ 2
= 2 * 6 ^ 2
= 72
Below is the implementation of the above approach-
// C++ program to implement // the above approach #include <iostream> using namespace std;
// Function to return nth // term of the series int find_nth_Term( int n) { return 2 * n * n; }
// Driver code int main()
{ // Value of N
int N = 6;
// function call
cout << find_nth_Term(N) << endl;
return 0;
} |
// Java program for the above approach import java.io.*;
import java.lang.*;
import java.util.*;
class GFG {
// Function to return nth
// term of the series
static int find_nth_Term( int n) { return 2 * n * n; }
// Driver code
public static void main(String[] args)
{
// Value of N
int N = 6 ;
// function call
System.out.println(find_nth_Term(N));
}
} // This code is contributed by hrithikgarg03188. |
# Python program to implement # the above approach # Find n-th term of series # 2, 8, 18, 32, 50... def nthTerm(n):
return 2 * n * n
# Driver Code if __name__ = = "__main__" :
# Value of N
N = 6
# function call
print (nthTerm(N))
# This code is contributed by Samim Hossain Mondal. |
// C# program to implement // the above approach using System;
class GFG {
// Function to return nth
// term of the series
static int find_nth_Term( int n) { return 2 * n * n; }
// Driver Code
public static void Main()
{
// Value of N
int N = 6;
// function call
Console.Write(find_nth_Term(N));
}
} // This code is contributed by sanjoy_62. |
<script> // JavaScript code for the above approach
// Function to return nth
// term of the series
function find_nth_Term(n) {
return 2 * n * n;
}
// Driver code
// Value of N
let N = 6;
// function call
document.write(find_nth_Term(N) + '<br>' );
// This code is contributed by Potta Lokesh
</script>
|
72
Time Complexity: O(1)
Auxiliary Space: O(1)