Binomial expansion
What does “n” means in a binomial expansion?
The exponent
Who gave the name to Pascal’s triangle?
Blaise Pascal
Number that is always at the beginning and the end of each line
1
How many terms does (a+b)2 has?
four
French mathematician who studied and popularized Pascal’s triangle in the 17th century.
Blaise Pascal
What are the coefficient of n=6?
1, 6, 15, 20, 15, 6, 1
Find the fifth term in the expansion
(x-2)7
560x3
What was the name of the triangle in China?
Yang Hui triangle
Tell me the term and n of 1, 7, 21, 35, 35, 21, 7, 1
(a+b)7
N=7
(2x+1)5
(2x+1)5=32x5+80x4+80x3+40x2+10x+1
What countries used the triangle before Pascal?
China, India, and Persia (now known as Iran)
What are the coefficient if n=15?
1, 15, 105, 455, 1365, 3003, 5005, 6435, 6435, 5005, 3003, 1365, 455, 105, 15, 1
What numbers do you use when multiplying to 7?
1, 7, 21, 35, 35, 21, 7, 1
What is the famous sequence that hides in the Pascal’s triangle?
Fibonacci sequence
What is the sixth term of (x+6) 7
163,296x2