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Articles by sudhir sharma
Page 23 of 98
Find nth Hermite number in C++
In this problem, we are given an integer value N. Our task is to create a program to Find nth Hermite number.Hermite Number is a number is the value of hermite number when there are 0 arguments.Nth hermite Number is HN = (-2) * (N - 1) * H(N-2) The base values are H0 = 1 and H0 = 0.The hermite sequence is − 1, 0, -2, 0, 12, 0, -120, 0, 1680, 0….Let’s take an example to understand the problem, InputN = 7Output0InputN = 6Output-120Solution ApproachA simple solution to the problem is using the formula for hermite number. This ...
Read MoreC++ program to find Nth number of the series 1, 6, 15, 28, 45, .....
In this problem, we are given an integer value N. Our task is to create a program to Find Nth number of the series 1, 6, 15, 28, 45, …In the series, every element is 2 less than the mean of the previous and next element.Let’s take an example to understand the problem, InputN = 5Output45Solution ApproachThe Nth term of the series 1, 6, 15, 28, 45, … can be found using the formula, TN = 2*N*N - NProgram to illustrate the working of our solution, Example#include using namespace std; #define mod 1000000009 int calcNthTerm(long n) { return ...
Read MoreFind Nth positive number whose digital root is X in C++
In this problem, we are given two integer values N and X. Our task is to create a program to Find Nth positive number whose digital root is X.Digital Root (X) is a single digit positive number which is found by adding digits of N recursively adding digits, till the sum becomes single digit.Let’s take an example to understand the problem, InputN = 5, X = 4Output40Solution ApproachA simple way to solve the problem is by counting the numbers with a digital root is X. For this, we will start from 1 and then check if the current number’s digital ...
Read MoreFind Nth term (A matrix exponentiation example) in C++
In this problem, we are given an integer N and a recursive function that given Nth term as a function of other terms. Our task is to create a program to Find Nth term (A matrix exponentiation example).The function isT(n) = 2*( T(n-1) ) + 3*( T(n-2) ) Initial values are T(0) = 1 , T(1) = 1Let’s take an example to understand the problem, InputN = 4Output41ExplanationT(4) = 2* (T(3)) + 3*(T(2)) T(4) = 2* ( 2*(T(2)) + 3*(T(1)) ) + 3*( 2* (T(1)) + 3*(T(0)) ) T(4) = 2*( 2*(2* (T(1)) + 3*(T(0))) + 3*(1) ) + ...
Read MoreC++ program to find Nth term of series 1, 4, 15, 72, 420...
In this problem, we are given an integer N. Our task is to create a program to Find Nth term of series 1, 4, 15, 72, 420…Let’s take an example to understand the problem, InputN = 4Output72Solution ApproachA simple approach to solve the problem is the formula for the Nth term of the series. For this, we need to observe the series and then generalise the Nth term.The series can be seen as the product of factorial and a some variables, 1, 4, 15, 72, 420… 1!*(X1), 2!*(X2), 3!*(X3), 4!*(X4), 5!*(X5)... 1*(1), 2*(2), 6*(5/2), 24*(3), 120*(7/2)...Here, the series of product ...
Read MoreC++ program to find Nth term of the series 0, 2, 4, 8, 12, 18...
In this problem, we are given an integer N. Our task is to create a program to Find Nth term of series 0, 2, 4, 8, 12, 18…Let’s take an example to understand the problem, InputN = 5Output12Solution ApproachA simple approach to solve the problem is the formula for the Nth term of the series. For this, we need to observe the series and then generalise the Nth term.The formula of Nth term isT(N) = ( N + (N - 1)*N ) / 2Program to illustrate the working of our solution, Example#include using namespace std; int calcNthTerm(int N) { ...
Read MoreC++ program to find nth Term of the Series 1 2 2 4 4 4 4 8 8 8 8 8 8 8 8 ...
In this problem, we are given an integer N. Our task is to create a program to Find Nth term of series 1, 2, 2, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8…Let’s take an example to understand the problem, InputN = 7Output4Solution ApproachA simple approach to solve the problem is using a loop to find the term at the nth position. The terms will be updated by doubling after each iteration. And adding it to the term counter.Program to illustrate the working of our solution, Example#include using namespace std; int calcNthTerm(int N) { ...
Read MoreC++ program to Find Nth term of the series 1, 1, 2, 6, 24...
In this problem, we are given an integer N. Our task is to create a program to Find Nth term of series 1,1, 2, 6, 24, ...Let’s take an example to understand the problem,InputN = 7Output720ExplanationThe series is − 1, 1, 2, 6, 24, 120, 720Solution ApproachA simple approach to solve the problem is by using the general formula for the nth term of the series. The formula for,Nth term = (N−1)!Program to illustrate the working of our solution,Example#include using namespace std; int calcNthTerm(int N) { if (N
Read MoreC++ program to find Nth term of the series 1, 5, 32, 288 ...
In this problem, we are given an integer N. Our task is to create a program to Find Nth term of series 1,5, 32, 288 ...Let’s take an example to understand the problem,InputN = 4Output288Explanation4th term − (4^4) + (3^3) + (2^2) + (1^1) = 256 + 27 + 4 + 1 = 288Solution ApproachA simple approach to solve the problem is by using the general formula for the nth term of the series. The formula for,Nth term = ( N^N ) + ( (N-1)^(N-1) ) + … + ( 2^2 ) + ( 1^1 )Program to illustrate the working of our solution,Example#include using namespace std; int calcNthTerm(int N) { if (N
Read MoreC++ program to find Nth term of the series 1, 6, 18, 40, 75, ....
In this problem, we are given an integer N. Our task is to create a program to Find Nth term of series 1,6, 18, 40, 75 ...Let’s take an example to understand the problem,InputN = 4Output40Explanation4th term − (4 * 4 * 5 ) / 2 = 40Solution ApproachA simple approach to solve the problem is by using the general formula for the nth term of the series. The formula for,Nth term = ( N * N * (N + 1) ) / 2Program to illustrate the working of our solution,Example#include using namespace std; int calcNthTerm(int N) { return ( (N*N*(N+1))/2 ); } int main() { int N = 5; cout
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