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 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 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 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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Pi Digit Probability
Assume that the next digit of pi constant is determined by the historical digit distribution. What is the probability of next di...
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...
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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-scored bonus...
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Vector creation
Create a vector using square brackets going from 1 to the given value x in steps on 1.
Hint: use increment.
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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 ...
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Create a vector
Create a vector from 0 to n by intervals of 2.