给定第一个项(a),共同差(d)和算术级数级数的整数N,任务是找到级数的N个项。
例子 :
Input : a = 2 d = 1 N = 5
Output :
The 5th term of the series is : 6
Input : a = 5 d = 2 N = 10
Output :
The 10th term of the series is : 23
方法:
We know the Arithmetic Progression series is like = 2, 5, 8, 11, 14 …. …
In this series 2 is the stating term of the series .
Common difference = 5 – 2 = 3 (Difference common in the series).
so we can write the series as :
t1 = a1
t2 = a1 + (2-1) * d
t3 = a1 + (3-1) * d
.
.
.
tN = a1 + (N-1) * d
为了找到算术级数系列中的第N个项,我们使用简单的公式。
TN = a1 + (N-1) * d
C++
// CPP Program to find nth term of
// Arithmetic progression
#include
using namespace std;
int Nth_of_AP(int a, int d, int N)
{
// using formula to find the
// Nth term t(n) = a(1) + (n-1)*d
return (a + (N - 1) * d);
}
// Driver code
int main()
{
// starting number
int a = 2;
// Common difference
int d = 1;
// N th term to be find
int N = 5;
// Display the output
cout << "The "<< N
<<"th term of the series is : "
<< Nth_of_AP(a,d,N);
return 0;
}
Java
// Java program to find nth term
// of Arithmetic progression
import java.io.*;
import java.lang.*;
class GFG
{
public static int Nth_of_AP(int a,
int d,
int N)
{
// using formula to find the Nth
// term t(n) = a(1) + (n-1)*d
return ( a + (N - 1) * d );
}
// Driver code
public static void main(String[] args)
{
// starting number
int a = 2;
// Common difference
int d = 1;
// N th term to be find
int N = 5;
// Display the output
System.out.print("The "+ N +
"th term of the series is : " +
Nth_of_AP(a, d, N));
}
}
Python3
# Python 3 Program to
# find nth term of
# Arithmetic progression
def Nth_of_AP(a, d, N) :
# using formula to find the
# Nth term t(n) = a(1) + (n-1)*d
return (a + (N - 1) * d)
# Driver code
a = 2 # starting number
d = 1 # Common difference
N = 5 # N th term to be find
# Display the output
print( "The ", N ,"th term of the series is : ",
Nth_of_AP(a, d, N))
# This code is contributed
# by Nikita Tiwari.
C#
// C# program to find nth term
// of Arithmetic progression
using System;
class GFG
{
public static int Nth_of_AP(int a,
int d,
int N)
{
// using formula to find the Nth
// term t(n) = a(1) + (n-1)*d
return ( a + (N - 1) * d );
}
// Driver code
public static void Main()
{
// starting number
int a = 2;
// Common difference
int d = 1;
// N th term to be find
int N = 5;
// Display the output
Console.WriteLine("The "+ N +
"th term of the series is : " +
Nth_of_AP(a, d, N));
}
}
// This code is contributed by vt_m.
PHP
Javascript
输出 :
The 5th term of the series is : 6