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?
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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?
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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?
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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?
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Create times-tables
At one time or another, we all had to memorize boring times tables. 5 times 5 is 25. 5 times 6 is 30. 12 times 12 is way more th...
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Maximum value in a matrix
Find the maximum value in the given matrix.
For example, if
A = [1 2 3; 4 7 8; 0 9 1];
then the answer is 9.
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Energy of an object
Calculate the total mechanical energy of an object.
Total Energy= Potential energy + Kinetic energy
P.E.=m*g*h
K.E.=1/2...
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Sum all integers from 1 to 2^n
Given the number x, y must be the summation of all integers from 1 to 2^x. For instance if x=2 then y must be 1+2+3+4=10.
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Check if number exists in vector
Return 1 if number _a_ exists in vector _b_ otherwise return 0.
a = 3;
b = [1,2,4];
Returns 0.
a = 3;
b = [1,...
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Reverse the vector
Reverse the vector elements.
Example:
Input x = [1,2,3,4,5,6,7,8,9]
Output y = [9,8,7,6,5,4,3,2,1]
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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...
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Triangle Numbers
Triangle numbers are the sums of successive integers. So 6 is a triangle number because
6 = 1 + 2 + 3
which can be displayed ...
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Generate a vector like 1,2,2,3,3,3,4,4,4,4
Generate a vector like 1,2,2,3,3,3,4,4,4,4
So if n = 3, then return
[1 2 2 3 3 3]
And if n = 5, then return
[1 2 2 3 3 3 4...
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Make the vector [1 2 3 4 5 6 7 8 9 10]
In MATLAB, you create a vector by enclosing the elements in square brackets like so:
x = [1 2 3 4]
Commas are optional, s...
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Finding Perfect Squares
Given a vector of numbers, return true if one of the numbers is a square of one of the numbers. Otherwise return false.
Example...