📜  系列2、12、36、80、150…中的第n个术语。

📅  最后修改于: 2021-04-23 20:27:12             🧑  作者: Mango

给定一个序列2,12,36,80,150。找到该序列的第n个项。
例子 :

Input : 2
Output : 12

Input : 4
Output : 80 

如果仔细看,我们会发现级数是自然数的平方和立方的总和(1、4、9、16、25,…..)+(1、8、27、64、125,…。 )。
因此,该序列的第n个数为n ^ 2 + n ^ 3

C++
// CPP program to find n-th term of
// the series  2, 12, 36, 80, 150, ..
#include 
using namespace std;
 
// Returns n-th term of the series
// 2, 12, 36, 80, 150
int nthTerm(int n)
{
    return (n * n) + (n * n * n);
}
 
// driver code
int main()
{
    int n = 4;
    cout << nthTerm(n);
    return 0;
}


Java
//java program to find n-th term of
// the series 2, 12, 36, 80, 150, ..
import java.util.*;
 
class GFG
{
    // Returns n-th term of the series
    // 2, 12, 36, 80, 150
    public static int nthTerm(int n)
    {
        return (n * n) + (n * n * n);
    }
     
    // Driver code
    public static void main(String[] args)
    {
        int n = 4;
        System.out.print(nthTerm(n));
    }
}
 
// This code is contributed by rishabh_jain


Python3
# Python3 code to find n-th term of
# the series 2, 12, 36, 80, 150, ..
 
# Returns n-th term of the series
# 2, 12, 36, 80, 150
def nthTerm( n ):
    return (n * n) + (n * n * n)
 
# driver code
n = 4
print( nthTerm(n))
 
# This code is contributed
# by "Sharad_Bhardwaj".


C#
// C# program to find n-th term of
// the series 2, 12, 36, 80, 150, ..
using System;
 
class GFG
{
    // Returns n-th term of the series
    // 2, 12, 36, 80, 150
    public static int nthTerm(int n)
    {
        return (n * n) + (n * n * n);
    }
     
    // Driver code
    public static void Main()
    {
        int n = 4;
        Console.WriteLine(nthTerm(n));
    }
}
 
// This code is contributed by vt_m.


PHP


Javascript


输出 :

80