Fibonacci sequence
Calculate the nth Fibonacci number.
Given n, return f where f = fib(n) and f(1) = 1, f(2) = 1, f(3) = 2, ...
Examples:
Inpu...
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Return the 3n+1 sequence for n
A Collatz sequence is the sequence where, for a given number n, the next number in the sequence is either n/2 if the number is e...
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Weighted average
Given two lists of numbers, determine the weighted average.
Example
[1 2 3] and [10 15 20]
should result in
33.333...
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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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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...
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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Swap the first and last columns
Flip the outermost columns of matrix A, so that the first column becomes the last and the last column becomes the first. All oth...
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Volume Pillar
Calculate the volume of a pillar with radius l and heigth ar.
Calculate area of sector
A=function(r,seta)
r is radius of sector, seta is angle of sector, and A is its area. Area of sector A is defined as 0.5*(r^2...
Select every other element of a vector
Write a function which returns every other element of the vector passed in. That is, it returns the all odd-numbered elements, s...
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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Pizza!
Given a circular pizza with radius _z_ and thickness _a_, return the pizza's volume. [ _z_ is first input argument.]
Non-scor...
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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 displa...
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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.
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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Times 2 - START HERE
Try out this test problem first.
Given the variable x as your input, multiply it by two and put the result in y.
Examples:...