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Risolto
Sum of series IX
What is the sum of the following sequence: Σ 1/k! for k=1...n for different n?
oltre 2 anni fa
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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)
oltre 2 anni fa
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Sum of series VI
What is the sum of the following sequence: Σk⋅k! for k=1...n for different n?
oltre 2 anni fa
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Sum of series V
What is the sum of the following sequence: Σk(k+1) for k=1...n for different n?
oltre 2 anni fa
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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?
oltre 2 anni fa
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Sum of series III
What is the sum of the following sequence: Σ(2k-1)^3 for k=1...n for different n?
oltre 2 anni fa
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Sum of series II
What is the sum of the following sequence: Σ(2k-1)^2 for k=1...n for different n?
oltre 2 anni fa
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Sum of series I
What is the sum of the following sequence: Σ(2k-1) for k=1...n for different n?
oltre 2 anni fa
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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?
oltre 2 anni fa
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Laws of motion 4
Given the initial velocity 'u', final velocity 'v' and acceleration 'a', find the distance travelled.
oltre 2 anni fa
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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...
oltre 2 anni fa
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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...
oltre 2 anni fa
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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>> ...
oltre 2 anni fa
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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...
oltre 2 anni fa
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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 right-...
oltre 2 anni fa
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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...
oltre 2 anni fa
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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...
oltre 2 anni fa
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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...
oltre 2 anni fa
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Is the Point in a Triangle?
Check whether a point or multiple points is/are in a triangle with three corners Points = [x, y]; Triangle = [x1, y1; x...
oltre 2 anni fa
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Can we make a triangle?
Given three positive number, check whether a triangle can be made with these sides length or not. remember that in a triangle su...
oltre 2 anni fa
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Find the sides of an isosceles triangle when given its area and height from its base to apex
Find the sides of an isosceles triangle when given its area and the height from its base to apex. For example, with A=12 and h=...
oltre 2 anni fa
