Find the next Fibonacci number
In the sequence of Fibonacci numbers, every number is the sum of the two preceding ones:
1, 1, 2, 3, 5, 8, 13, 21, 34, 55...
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Return the Fibonacci Sequence
Write a code which returns the Fibonacci Sequence such that the largest value in the sequence is less than the input integer N. ...
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Integer Sequence - II : New Fibonacci
Crack the following Integer Sequence. (Hints : It has been obtained from original Fibonacci Sequence and all the terms are also ...
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Volume Pillar
Calculate the volume of a pillar with radius l and heigth ar.
Approximation of Pi
Pi (divided by 4) can be approximated by the following infinite series:
pi/4 = 1 - 1/3 + 1/5 - 1/7 + ...
For a given number of...
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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...
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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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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 = [1,2,3];
Returns 1.
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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.
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...
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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...
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Side of an equilateral triangle
If an equilateral triangle has area A, then what is the length of each of its sides, x?
<<https://i.imgur.com/jlZDHhq.png>>
...