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Articles by sudhir sharma
Page 43 of 98
Sum of the series 1 + (1+3) + (1+3+5) + (1+3+5+7) + + (1+3+5+7+....+(2n-1)) in C++
In this problem, we are given an integer n. Our task is to create a program to find the sum of the series 1 + (1+3) + (1+3+5) + (1+3+5+7) + + (1+3+5+7+....+(2n-1)).From this series, we can observe that ith term of the series is the sum of first i odd numbers.Let’s take an example to understand the problem, Inputn = 3Output 14Explanation −(1) + (1+3) + (1+3+5) = 14A simple solution to this problem is using a nested loop and then add all odd numbers to a sum variable. Then return the sum.ExampleProgram to illustrate the working of our solution, ...
Read MoreSum of the series 1, 3, 6, 10... (Triangular Numbers) in C++
In this problem, we are given a number n which is given the n of elements of the series 1, 3, 6, 10 … (triangular number). Our task is to create a program to calculate the sum of the series.Let’s brush up about triangular numbers before calculating the sum.Triangular numbers are those numbers that can be represented in the form of a triangle.A triangle is formed in such a way that the first row has one point, second has two, and so on.ExampleLet’s take an example to understand the problem, Inputn = 4OutputExplanation − sum = T1 + T2 + T3 ...
Read MoreSum of the Series 1/(1*2) + 1/(2*3) + 1/(3*4) + 1/(4*5) + ... in C++
In this problem, we are given a number n which is the nth term of the series 1/(1*2) + 1/(2*3) +…+ 1/(n*(n+1)). Our task is to create a program to find the sum of the series.Let’s take an example to understand the problem, Input n = 3Output 0.75Explanation − sum = 1/(1*2) + 1/(2*3) + 1/(3*4) = ½ + ⅙+ 1/12 = (6+2+1)/12 = 9/12 = ¾ = 0.75A simple solution to the problem is using the loop. And commuting value for each element of the series. Then add them to the sum value.AlgorithmInitialize sum = 0 Step 1: Iterate from i = ...
Read MoreSum of the series 2 + (2+4) + (2+4+6) + (2+4+6+8) + ... + (2+4+6+8+...+2n) in C++
In this problem, we are given a number n which defines the nth term of the series 2 + (2+4) + (2+4+6) + (2+4+6+8) + ... + (2+4+6+8+...+2n). Our task is to create a program to find the sum of the series.Let’s take an example to understand the problem,Input n = 3OutputExplanation − sum = (2) + (2+4) + (2+4+6) = 2 + 6 + 12 = 20A simple solution to the problem is to use a nested loop. The inner loop finds the ith element of the series and then add up all elements to the sum variable.ExampleProgram to illustrate the working of our solution,#include using namespace std; int calcSeriesSum(int n) { int sum = 0; for (int i = 1; i
Read MoreSum of the series 2^0 + 2^1 + 2^2 +...+ 2^n in C++
In this problem, we are given a number n which defines the n-th term of the series 2^0, 2^1, 2^2, …, 2^n. Our task is to create a program to find the sum of the series 2^0 + 2^1 + 2^2 +...+ 2^n.Let’s take an example to understand the problem, Inputn=6Output Explanation sum = 2^0 + 2^1 + 2^2 + 2^3 + 2^4 + 2^5 + 2^6 sum = 1 + 2 + 4 + 8 + 16 + 32 + 64 = 127A simple solution to the problem is by using the loop. Finding the 2^i, for each value from 0 ...
Read MoreSum of upper triangle and lower triangle in C++
In this problem, we are given a matrix. Our task is to create a program to print the sum of upper triangle and lower triangle.Lower triangleM00 0 0 … 0 M10 M11 0 … 0 M20 M21 M22 … ...
Read MoreSum of XOR of all pairs in an array in C++
In this problem, we are given an array arr[] of n integers. Our task is to create a program to find the sum of XOR of all pairs in an array.Let’s take an example to understand the problem, Input: arr[] = {5, 1, 4} Output: 10 Explanation: the sum of all pairs: 5 ^ 1 = 4 1 ^ 4 = 5 5 ^ 4 = 1 sum = 4 + 5 + 1 = 10One simple approach to solve this problem is to run nested loops and find all pairs of numbers. Find XOR of each pair and add ...
Read MoreSum of XOR of all possible subsets in C++
In this problem, we are given an array aar[] of n numbers. Our task is to create a program to find the Sum of XOR of all possible subsets.Here, we will find all subsets of the array. Then for each subset, we will find the XOR of elements of the subset and add them to the sum variable.Let’s take an example to understand the problem, Input: arr[] = {5, 1, 4} Output: 20 Explanation: XOR of all subsets: {5} = 5 {1} = 1 {4} = 4 {5, 1} = 4 {5, 4} = 1 {1, 4} = 5 {5, ...
Read MoreSum of XOR of all subarrays in C++
In this problem, we are given an array arr[] of n numbers. Our task is to create a program to find the sum of XOR of all subarrays of the array.Here, we need to find all sub-arrays of the given array, and then for each subarray, we will find the xor of element and add the XOR value to the sum variable.Let’s take an example to understand the problem, Input: arr[] = {5, 1, 4} Output: Explanation: XOR of all subarrays for the array : XOR {5} = 5 XOR {1} = 1 XOR {4} = 4 XOR {5, 1} ...
Read MoreSum of the series Kn + ( K(n-1) * (K-1)1 ) + ( K(n-2) * (K-1)2 ) + ... (K-1)n in C++
In the problem, we are ginen two number k and n of the series K^n + ( K^(n-1) * (K-1)^1 ) + ( K^(n-2) * (K-1)^2 ) + ... (K-1)^n. Our task is to create a program to find the sum of the series.Let’s take an example to understand the problem, Input: n = 3, k = 4 Output: 175 Explanation: Sum of the series is = 4^3 + ( (4^2)*(3^1) ) + ( (4^1)*(3^2) ) + ( (4^0)*(3^3) ) = 64 + 48 + 36 + 27 = 175A simple way to solve the problem, is using a for ...
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