在这里,我们将找到级数1 + 11 + 111 + 1111 +…..upto N个项的总和(其中N是给定的)。
例子 :
Input : 3
Output : 1 + 11 + 111 +....
Total sum is : 123
Input : 4
Output : 1 + 11 + 111 + 1111 +.....
Total sum is : 1234
Input : 7
Output : 1 + 11 + 111 + 1111 + 11111 +
111111 + 1111111 +.....
Total sum is : 1234567
在这里,我们看到,当N的值为3时,序列的最后值为1 + 11 + 111,即三个项,其和为123。
查找上述系列的总和的程序:
C++
// C++ program to find the sum of
// the series 1+11+111+1111+....
#include
using namespace std;
// Function for finding summation
int summation(int n)
{
int sum = 0, j = 1;
for (int i = 1; i <= n; i++) {
sum = sum + j;
// Appending a 1 at the end
j = (j * 10) + 1;
}
return sum;
}
// Driver Code
int main()
{
int n = 5;
cout << " " << summation(n);
return 0;
}
// This code is contributed by shivanisinghss2110
C
// C program to find the sum of
// the series 1+11+111+1111+....
#include
// Function for finding summation
int summation(int n)
{
int sum = 0, j = 1;
for (int i = 1; i <= n; i++) {
sum = sum + j;
// Appending a 1 at the end
j = (j * 10) + 1;
}
return sum;
}
// Driver Code
int main()
{
int n = 5;
printf("%d", summation(n));
return 0;
}
Java
// Java program to find the sum of
// the series 1+11+111+1111+....
import java.io.*;
class GFG
{
// Function for finding summation
static int summation(int n)
{
int sum = 0, j = 1;
for (int i = 1; i <= n; i++)
{
sum = sum + j;
j = (j * 10) + 1;
}
return sum;
}
// Driver Code
public static void main(String args[])
{
int n = 5;
System.out.println(summation(n));
}
}
// This code is contributed
// by Nikita Tiwari
Python
# Python program to get the summation
# of following series
def summation(n):
sum = 0
j = 1
for i in range(1, n + 1):
sum = sum + j
j = (j * 10) + 1
return sum
# Driver Code
n = 5
print(summation(n))
C#
// C# program to find the sum of
// the series 1+11+111+1111+....
using System;
class GFG
{
// Function for finding summation
static int summation(int n)
{
int sum = 0, j = 1;
for (int i = 1; i <= n; i++)
{
sum = sum + j;
j = (j * 10) + 1;
}
return sum;
}
// Driver Code
public static void Main()
{
int n = 5;
Console.WriteLine(summation(n));
}
}
// This code is contributed by vt_m
PHP
Javascript
C++
// C++ program to find the sum of
// the series 1+11+111+1111+....
#include
// Function for finding summation
int summation(int n)
{
int sum;
sum = (pow(10, n + 1) -
10 - (9 * n)) / 81;
return sum;
}
// Driver Code
int main()
{
int n = 5;
printf("%d", summation(n));
return 0;
}
Java
// java program to find the sum of
// the series 1+11+111+1111+....
import java.io.*;
class GFG {
// Function for finding summation
static int summation(int n)
{
int sum;
sum = (int)(Math.pow(10, n + 1) -
10 - (9 * n)) / 81;
return sum;
}
// Driver Code
public static void main (String[] args)
{
int n = 5;
System.out.println(summation(n));
}
}
// This code is contributed by anuj_67.
Python3
# Python3 program to
# find the sum of
# the series 1+11+111+1111+....
import math
# Function for
# finding summation
def summation(n):
return int((pow(10, n + 1) -
10 - (9 * n)) / 81);
# Driver Code
print(summation(5));
# This code is contributed
# by mits.
C#
// C# program to find the sum of
// the series 1+11+111+1111+....
using System;
class GFG {
// Function for finding summation
static int summation(int n)
{
int sum;
sum = (int)(Math.Pow(10, n + 1) -
10 - (9 * n)) / 81;
return sum;
}
// Driver Code
public static void Main ()
{
int n = 5;
Console.WriteLine(summation(n));
}
}
// This code is contributed by anuj_67.
PHP
Javascript
输出 :
12345
另一种方法:让给定级数S = 1 + 11 + 111 + 1111 +。 。 。 +至第n个学期。用公式求级数之和。
下面是上述方法的实现。
C++
// C++ program to find the sum of
// the series 1+11+111+1111+....
#include
// Function for finding summation
int summation(int n)
{
int sum;
sum = (pow(10, n + 1) -
10 - (9 * n)) / 81;
return sum;
}
// Driver Code
int main()
{
int n = 5;
printf("%d", summation(n));
return 0;
}
Java
// java program to find the sum of
// the series 1+11+111+1111+....
import java.io.*;
class GFG {
// Function for finding summation
static int summation(int n)
{
int sum;
sum = (int)(Math.pow(10, n + 1) -
10 - (9 * n)) / 81;
return sum;
}
// Driver Code
public static void main (String[] args)
{
int n = 5;
System.out.println(summation(n));
}
}
// This code is contributed by anuj_67.
Python3
# Python3 program to
# find the sum of
# the series 1+11+111+1111+....
import math
# Function for
# finding summation
def summation(n):
return int((pow(10, n + 1) -
10 - (9 * n)) / 81);
# Driver Code
print(summation(5));
# This code is contributed
# by mits.
C#
// C# program to find the sum of
// the series 1+11+111+1111+....
using System;
class GFG {
// Function for finding summation
static int summation(int n)
{
int sum;
sum = (int)(Math.Pow(10, n + 1) -
10 - (9 * n)) / 81;
return sum;
}
// Driver Code
public static void Main ()
{
int n = 5;
Console.WriteLine(summation(n));
}
}
// This code is contributed by anuj_67.
的PHP
Java脚本
输出 :
12345