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)
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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?
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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?
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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?
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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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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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The Birthday Phenomenon
First off, leap years are not being considered for this. In fact the year that people are born shouldn't be taken into considera...
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/...
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Solve a System of Linear Equations
Example:
If a system of linear equations in x₁ and x₂ is:
2x₁ + x₂ = 2
x₁ - 4 x₂ = 3
Then the coefficient matrix (A) is:
2 ...
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Calculate Amount of Cake Frosting
Given two input variables r and h, which stand for the radius and height of a cake, calculate the surface area of the cake you n...
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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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Magic is simple (for beginners)
Determine for a magic square of order n, the magic sum m. For example m=15 for a magic square of order 3.
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Make a random, non-repeating vector.
This is a basic MATLAB operation. It is for instructional purposes.
---
If you want to get a random permutation of integer...
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Roll the Dice!
*Description*
Return two random integers between 1 and 6, inclusive, to simulate rolling 2 dice.
*Example*
[x1,x2] =...
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Number of 1s in a binary string
Find the number of 1s in the given binary string.
Example. If the input string is '1100101', the output is 4. If the input stri...