Fibonacci lived about 400 years before Pascal did.
4,8,12,16,20
a + 99d where 'a' is the first term of the sequence and 'd' is the common difference.
The sequence "jfmamjjasond" represents the first letter of each month. The next letters in the sequence would be "f" for February, "m" for March, "a" for April, and "m" for May. So, the complete sequence would be "jfmamjjasondfmam."
This is the sequence of triangular numbers. You draw one dot. Then you draw two dots in the line below - one to the left and one to the right of the first dot. You now have a triangle, of three dots. Then you draw three dots in the next line and you get a triangle with 6 dots. Next, four more dots in the next line giving a triangle with 10 dots. The name is easy to understand if you can visualise or even actually draw these dots. It is difficult to demonstrate through an ordinary word processing package.
It is an ordered set of numbers in which the difference between any member of the sequence (except the first) and its predecessor is a constant.
pascal
Blaise Pascal invented the first calculator and Pascals triangle.
blaise pascal invented the calculator and also the triangle thing.
1--- 1,1--- 1,2,1--- 1,3,3,1--- 1,4,6,4,1--- 1,5,10,10,5,1--- 1,6,15,20,15,6,1--- 1,7,21,35,35,21,7,1--- 1,8,28,56,70,56,28,8,1--- 1,9,36,84,126,126,84,36,9,1--- 1,10,45,120,210,252,210,120,45,10,1--- 1,11,55,165,330,462,462,330,165,55,11,1--- 1,12,66,220,495,792,924,792,495,220,66,12,1--- press improve answer to see it as a triangle
It was discovered first by a Persian Mathematician named Al-Karaji, then followed by numerous other people from places such as China.
Hindu studies of combinatorics but Pascal discoevered more uses for it. If you add up the diagonals of Pascal's triangle, the sums are the entries of the Fibonacci Sequence.
The famous Fibonacci sequence starts with u(1) = 1, u(2) = 1 and thenu(n+2) = u(n) + u(n+1 for n = 1, 2, 3, ...Many sequences with other starting numbers behave similarly to this one.
Pascal's triangle is a convenient listing of the coefficients obtained from raising a binomial to a whole number power. The triangle begins with 1 in the first row, 1,2,1 in the second, 1,3,3,1 in the third, 1, 4,6,4,1 in the fourth row and so on. These numbers represent the coefficients of (x+y)^ 0, (x+y)^1, (x+y)^2, (x+y)^3 and (x+y)^4.
Each term is a square or triangular number. In the context of the sequence of square numbers, the first term is the first square number, the second term is the second square number and so on.
The duration of The Human Centipede - First Sequence - is 1.53 hours.
4,8,12,16,20
Which sequence? Oh, that one! The first three terms are 1, 2 and 72.