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The set of numbers that form Pascal's triangle were well known before Pascal. But, Pascal developed many applications of it and was the first one to organize all the information together in his Traité du triangle arithmétique (1653). The numbers originally arose from Hindu studies of binomial numbers and the study of figurate numbers. The earliest explicit depictions of a triangle of binomial coefficients occur in the 10th century in commentaries on the Chandas Shastra, a book by Pingala written between the 5th and 2nd century BC.
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What are the multiples of 5 within pascals triangle?
The Sierpinski Triangle
What is the sum of the numbers in the 5th row of pascals triangle?
depends. If you start Pascals triangle with (1) or (1,1). The fifth row with then either be (1,4,6,4,1) or (1,5,10,10,5,1). The sums of which are respectively 16 and 32.
Did pascals triangle or fibonaccis sequence come first?
Fibonacci lived about 400 years before Pascal did.
Who discovered pascals triangle?
Omar Khayyam discovered Pascal's triangle.
How many odd numbers are in the 100th row of Pascals triangle?
The number of odd numbers in the Nth row of Pascal's triangle is equal to 2^n, where n is the number of 1's in the binary form of the N. In this case, 100 in binary is 1100100, so there are 8 odd numbers in the 100th row of Pascal's triangle.
