Dado un número N, la tarea es encontrar el N-ésimo término en la serie dada:
9, 23, 45, 75, 113, 159......
Ejemplos:
Input: 4
Output: 113
Explanation:
For N = 4
Nth term = ( 2 * N + 3 )*( 2 * N + 3 ) - 2 * N
= ( 2 * 4 + 3 )*( 2 * 4 + 3 ) - 2 * 4
= 113
Input: 10
Output: 509
Enfoque:
El término N de la serie dada se puede generalizar como:
Nth term of the series : ( 2 * N + 3 )*( 2 * N + 3 ) - 2 * N
A continuación se muestra la implementación del problema anterior:
Programa:
C++
// CPP program to find N-th term of the series:
// 9, 23, 45, 75, 113...
#include <iostream>
using namespace std;
// calculate Nth term of series
int nthTerm(int N)
{
return (2 * N + 3) * (2 * N + 3) - 2 * N;
}
// Driver Function
int main()
{
// Get the value of N
int N = 4;
// Find the Nth term
// and print it
cout << nthTerm(N);
return 0;
}
Java
// Java program to find
// N-th term of the series:
// 9, 23, 45, 75, 113...
class GFG
{
// calculate Nth term of series
static int nthTerm(int N)
{
return (2 * N + 3) *
(2 * N + 3) - 2 * N;
}
// Driver code
public static void main(String[] args)
{
// Get the value of N
int N = 4;
// Find the Nth term
// and print it
System.out.println(nthTerm(N));
}
}
// This code is contributed by Bilal
Python3
# Python program to find # N-th term of the series: # 9, 23, 45, 75, 113... def nthTerm(N): # calculate Nth term of series return ((2 * N + 3) * (2 * N + 3) - 2 * N); # Driver Code # Get the value of N n = 4 # Find the Nth term # and print it print(nthTerm(n)) # This code is contributed by Bilal
C#
// C# program to find
// N-th term of the series:
// 9, 23, 45, 75, 113...
using System;
class GFG
{
// calculate Nth term of series
static int nthTerm(int N)
{
return (2 * N + 3) *
(2 * N + 3) - 2 * N;
}
// Driver code
public static void Main()
{
// Get the value of N
int N = 4;
// Find the Nth term
// and print it
Console.WriteLine(nthTerm(N));
}
}
// This code is contributed
// by Akanksha Rai(Abby_akku)
PHP
<?php
// PHP program to find
// N-th term of the series:
// 9, 23, 45, 75, 113...
// calculate Nth term of series
function nthTerm($N)
{
return (2 * $N + 3) *
(2 * $N + 3) - 2 * $N;
}
// Driver Code
// Get the value of N
$N = 4;
// Find the Nth term
// and print it
echo nthTerm($N);
// This code is contributed by Raj
?>
Javascript
<script>
// JavaScript program to find N-th term of the series:
// 9, 23, 45, 75, 113...
// calculate Nth term of series
function nthTerm( N)
{
return (2 * N + 3) * (2 * N + 3) - 2 * N;
}
// Driver Function
// get the value of N
let N = 4;
// Calculate and print the Nth term
document.write( nthTerm(N));
// This code is contributed by todaysgaurav
</script>
Producción:
113
Complejidad de tiempo: O(1)
Complejidad espacial : O (1) ya que usa variables constantes