The Sierpinski 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.
Fibonacci lived about 400 years before Pascal did.
HERON discovered the area of a triangle in terms of its sides. Heron's formula = [s(s-a)(s-b)(s-c)]1/2Here, s = semiperimeter of a triangle a, b, c = three sides of the 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.
in the 11th century...
Pascal's triangle
It was discovered first by a Persian Mathematician named Al-Karaji, then followed by numerous other people from places such as China.
pascal
The Sierpinski Triangle
pascals triangle is used to solve math problems that have chance of 2 different outcomes, such as flipping a coin
(a+b)7
35
1,4,6,4,1
Blaise Pascal.
Pascal didn't invent pascals triangle, he just made It popular. A Chinese mathematician invented it in about 1015.
The expanded binomial is another name for Pascal's triangle.