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Solved
Sum of series IX
What is the sum of the following sequence: Σ 1/k! for k=1...n for different n?
3 years ago
Solved
Sum of series
a(n) = n^2 - (n-1)^2 find the summation of the series upto n i.e. a(1)+a(2)+...+a(n)
3 years ago
Solved
Sum of series VI
What is the sum of the following sequence: Σk⋅k! for k=1...n for different n?
3 years ago
Solved
Sum of series V
What is the sum of the following sequence: Σk(k+1) for k=1...n for different n?
3 years 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?
3 years 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?
3 years 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?
3 years ago
Solved
Sum of series I
What is the sum of the following sequence: Σ(2k-1) for k=1...n for different n?
3 years ago
Solved
Laws of motion 4
Given the initial velocity 'u', final velocity 'v' and acceleration 'a', find the distance travelled.
3 years 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...
3 years 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...
3 years 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...
3 years 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...
3 years 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>> ...
3 years 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>> ...
3 years 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...
3 years 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 second...
3 years 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...
3 years 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...
3 years ago
Solved
Vector creation
Create a vector using square brackets going from 1 to the given value x in steps on 1. Hint: use increment.
3 years ago
Solved
Doubling elements in a vector
Given the vector A, return B in which all numbers in A are doubling. So for: A = [ 1 5 8 ] then B = [ 1 1 5 ...
3 years ago
