Solved

Sum of series V

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

4 months 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?

4 months 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?

4 months 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?

4 months ago

Solved

Sum of series I

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

4 months ago

Solved

Dimensions of a rectangle

The longer side of a rectangle is three times the length of the shorter side. If the length of the diagonal is x, find the width...

4 months ago

Solved

Is this triangle right-angled?

Given three positive numbers a, b, c, where c is the largest number, return *true* if the triangle with sides a, b and c is righ...

4 months 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...

4 months ago

Solved

Is this triangle right-angled?

Given any three positive numbers a, b, c, return true if the triangle with sides a, b and c is right-angled. Otherwise, return f...

4 months 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...

4 months ago

Solved

Length of the hypotenuse

Given short sides of lengths a and b, calculate the length c of the hypotenuse of the right-angled triangle. <<https://i.imgu...

4 months 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...

4 months ago

Solved

Side of an equilateral triangle

If an equilateral triangle has area A, then what is the length of each of its sides, x? <<https://i.imgur.com/jlZDHhq.png>> ...

4 months 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>> ...

4 months 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...

4 months ago

Solved

Length of a short side

Calculate the length of the short side, a, of a right-angled triangle with hypotenuse of length c, and other short side of lengt...

4 months ago

Solved

Chess probability

The difference in the ratings between two players serves as a predictor of the outcome of a match (the <http://en.wikipedia.org/...

4 months ago

Solved

Probability of Choosing a Red Ball

Given two jars of red and blue balls, find the probability of choosing a red ball from Jar 1 after going through the steps. ...

4 months ago

Solved

Relative ratio of "1" in binary number

Input(n) is positive integer number Output(r) is (number of "1" in binary input) / (number of bits). Example: * n=0; r=...

5 months ago

Solved

Bit Reversal

Given an unsigned integer _x_, convert it to binary with _n_ bits, reverse the order of the bits, and convert it back to an inte...

5 months ago

Solved

Given an unsigned integer x, find the largest y by rearranging the bits in x

Given an unsigned integer x, find the largest y by rearranging the bits in x. Example: Input x = 10 Output y is 12 ...

5 months ago

Solved

Binary code (array)

Write a function which calculates the binary code of a number 'n' and gives the result as an array(vector). Example: Inpu...

5 months ago

Solved

Binary numbers

Given a positive, scalar integer n, create a (2^n)-by-n double-precision matrix containing the binary numbers from 0 through 2^n...

5 months ago

Solved

Find out sum and carry of Binary adder

Find out sum and carry of a binary adder if previous carry is given with two bits (x and y) for addition. Examples Previo...

5 months ago

Solved

Convert given decimal number to binary number.

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

5 months ago

Solved

Converting binary to decimals

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

5 months ago