几何级数第 N 项程序
给定几何级数的第一项(a)、公比(r)和整数 N，任务是找到级数的第 N项。 例:
Input : a = 2 r = 2, N = 4
Output :
The 4th term of the series is : 16
Input : a = 2 r = 3, N = 5
Output :
The 5th term of the series is : 162
进场:
我们知道几何级数就像= 2，4，8，16，32。… 在本系列中，2 是该系列的陈述性术语。 公比= 4 / 2 = 2(系列中的公比)。 所以我们可以把这个系列写成: t1= a1t2= a1 r(2-1) t3= a1 r(3-1)T22】t4= a【T25 。 。 。 tN= a1* r(N-1)
为了在几何级数中找到第 N项，我们使用了简单的公式。
T<sub>N = a1 * r<sup>(N-1)</sup></sub>
C++
// CPP Program to find nth term of
// geometric progression
#include <bits/stdc++.h>
using namespace std;
int Nth_of_GP(int a, int r, int N)
{
// using formula to find
// the Nth term
// TN = a1 * r(N-1)
return( a * (int)(pow(r, N - 1)) );
}
// Driver code
int main()
{
// starting number
int a = 2;
// Common ratio
int r = 3;
// N th term to be find
int N = 5;
// Display the output
cout << "The "<< N <<"th term of the series is : "
<< Nth_of_GP(a, r, N);
return 0;
}
Java 语言(一种计算机语言，尤用于创建网站)
// java program to find nth term
// of geometric progression
import java.io.*;
import java.lang.*;
class GFG
{
public static int Nth_of_GP(int a,
int r,
int N)
{
// using formula to find the Nth
// term TN = a1 * r(N-1)
return ( a * (int)(Math.pow(r, N - 1)) );
}
// Driver code
public static void main(String[] args)
{
// starting number
int a = 2;
// Common ratio
int r = 3;
// 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_GP(a, r, N));
}
}
Python 3
# Python3 Program to find nth
# term of geometric progression
import math
def Nth_of_GP(a, r, N):
# Using formula to find the Nth
# term TN = a1 * r(N-1)
return( a * (int)(math.pow(r, N - 1)) )
# Driver code
a = 2 # Starting number
r = 3 # Common ratio
N = 5 # N th term to be find
print("The", N, "th term of the series is :",
Nth_of_GP(a, r, N))
# This code is contributed by Smitha Dinesh Semwal
C
// C# program to find nth term
// of geometric progression
using System;
class GFG
{
public static int Nth_of_GP(int a,
int r,
int N)
{
// using formula to find the Nth
// term TN = a1 * r(N-1)
return ( a * (int)(Math.Pow(r, N - 1)) );
}
// Driver code
public static void Main()
{
// starting number
int a = 2;
// Common ratio
int r = 3;
// N th term to be find
int N = 5;
// Display the output
Console.Write("The "+ N + "th term of the" +
" series is : " + Nth_of_GP(a, r, N));
}
}
// This code is contributed by vt_m
服务器端编程语言（Professional Hypertext Preprocessor 的缩写）
<?php
// PHP Program to find nth term of
// geometric progression
function Nth_of_GP($a, $r, $N)
{
// using formula to find
// the Nth term TN = a1 * r(N-1)
return( $a * (int)(pow($r, $N - 1)) );
}
// Driver code
// starting number
$a = 2;
// Common ratio
$r = 3;
// N th term to be find
$N = 5;
// Display the output
echo("The " . $N . "th term of the series is : "
. Nth_of_GP($a, $r, $N));
// This code is contributed by Ajit.
?>
java 描述语言
<script>
// JavaScript Program to find nth term of
// geometric progression
function Nth_of_GP(a, r, N)
{
// using formula to find
// the Nth term
// TN = a1 * r(N-1)
return( a * Math.floor(Math.pow(r, N - 1)) );
}
// Driver code
// starting number
let a = 2;
// Common ratio
let r = 3;
// N th term to be find
let N = 5;
// Display the output
document.write("The "+ N +"th term of the series is : "
+ Nth_of_GP(a, r, N));
// This code is contributed by Surbhi Tyagi
</script>
输出:
The 5th term of the series is : 162
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