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