给定数字N。任务是编写一个程序来查找以下系列的第N个术语:
0, 14, 40, 78, 124 …(N Terms)
例子:
Input: N = 4
Output: 78
For N = 4
Sum(upto 4 terms) = ( 6 * n * n - 4 * n - 2)
= ( 6 * 4 * 4 - 4 * 4 - 2)
= 78
Input: N = 10
Output: 557
方法:本系列的广义第N个术语:
以下是所需的实现:
C++
// CPP program to find the N-th term of the series
// 0, 14, 40, 78, 124 ...
#include
#include
using namespace std;
// calculate sum upto Nth term of series
int nthTerm(int n)
{
return 6 * pow(n, 2) - 4 * n - 2;
}
// Driver code
int main()
{
int N = 4;
cout << nthTerm(N);
return 0;
}
Java
// Java program to find the N-th term of the series
// 0, 14, 40, 78, 124 ...
import java.util.*;
class solution
{
// calculate sum up to Nth term of series
static int nthTerm(int n)
{
//return the final sum
return 6 * (int)Math.pow(n, 2) - 4 * n - 2;
}
// Driver code
public static void main(String arr[])
{
int N = 4;
System.out.println(nthTerm(N));
}
}
//This code is contributed by Surendra_Gangwar
Python3
# Python3 program to find
# the N-th term of the series
# 0, 14, 40, 78, 124 ...
# calculate sum upto Nth
# term of series
def nthTerm(n):
return int(6 * pow(n, 2) - 4 * n - 2)
# Driver code
N = 4
print(nthTerm(N))
# This code is contributed
# by Shrikant13
C#
// C# program to find the
// N-th term of the series
// 0, 14, 40, 78, 124 ...
using System;
class GFG
{
// calculate sum up to Nth
// term of series
static int nthTerm(int n)
{
//return the final sum
return 6 * (int)Math.Pow(n, 2) -
4 * n - 2;
}
// Driver code
public static void Main()
{
int N = 4;
Console.WriteLine(nthTerm(N));
}
}
// This code is contributed
// by inder_verma
PHP
Javascript
输出:
78
时间复杂度: O(1)
注意:以上系列(Sn)的n个项之和为: