---

Solved

Encode Roman Numerals

Create a function taking a non-negative integer as its parameter and returning a string containing the Roman Numeral representat...

environ 2 mois ago

Solved

Sum of series VII

What is the sum of the following sequence: Σ(km^k)/(k+m)! for k=1...n for different n and m?

2 mois ago

Solved

Sum of series VI

What is the sum of the following sequence: Σk⋅k! for k=1...n for different n?

2 mois ago

Solved

Sum of series V

What is the sum of the following sequence: Σk(k+1) for k=1...n for different n?

2 mois ago

Solved

Sum of series IV

What is the sum of the following sequence: Σ(-1)^(k+1) (2k-1)^2 for k=1...n for different n?

2 mois ago

Solved

Sum of series III

What is the sum of the following sequence: Σ(2k-1)^3 for k=1...n for different n?

2 mois ago

Solved

Sum of series II

What is the sum of the following sequence: Σ(2k-1)^2 for k=1...n for different n?

2 mois ago

Solved

Sum of series I

What is the sum of the following sequence: Σ(2k-1) for k=1...n for different n?

2 mois ago

Solved

Project Euler: Problem 3, Largest prime factor

The prime factors of 13195 are 5, 7, 13 and 29. What is the largest prime factor of the number being input, input might be ui...

2 mois ago

Solved

Project Euler: Problem 2, Sum of even Fibonacci

Each new term in the Fibonacci sequence is generated by adding the previous two terms. By starting with 1 and 2, the first 10 te...

2 mois ago

Solved

Project Euler: Problem 1, Multiples of 3 and 5

If we list all the natural numbers below 10 that are multiples of 3 or 5, we get 3, 5, 6 and 9. The sum of these multiples is 23...

2 mois ago

Solved

Evaluate the gamma function

The <https://mathworld.wolfram.com/GammaFunction.html gamma function> is a generalization of the factorial, and it appears in ma...

2 mois ago

Solved

~~~~~~~ WAVE ~~~~~~~~~

|The WAVE generator| Once upon a time there was a river. 'Sum' was passing by the river. He saw the water of the river that w...

2 mois ago

Solved

Triangle sequence

A sequence of triangles is constructed in the following way: 1) the first triangle is Pythagoras' 3-4-5 triangle 2) the s...

2 mois ago

Solved

Side of a rhombus

If a rhombus has diagonals of length x and x+1, then what is the length of its side, y? <<https://imgur.com/x6hT6mm.png>> ...

2 mois ago

Solved

Find a Pythagorean triple

Given four different positive numbers, a, b, c and d, provided in increasing order: a < b < c < d, find if any three of them com...

2 mois ago

Solved

Area of an equilateral triangle

Calculate the area of an equilateral triangle of side x. <<https://i.imgur.com/jlZDHhq.png>> Image courtesy of <http://up...

2 mois ago

Solved

Converting binary to decimals

Convert binary to decimals. Example: 010111 = 23. 110000 = 48.

2 mois ago

Solved

Convert given decimal number to binary number.

Convert given decimal number to binary number. Example x=10, then answer must be 1010.

2 mois ago

Solved

Area of an Isoceles Triangle

An isosceles triangle has equal sides of length x and a base of length y. Find the area, A, of the triangle. <<https://imgur...

5 mois ago

Solved

Which doors are open?

There are n doors in an alley. Initially they are all shut. You have been tasked to go down the alley n times, and open/shut the...

5 mois ago

Solved

Code breaker, Part I: Operation Phoenix

You have been tasked with decoding a set of coded messages that have been intercepted. Based on previous intelligence that ...

6 mois ago