Question. Which of the following statements regarding Pascal's triangle are correct?
A. The nth row gives the coefficients in the expansion of (x + y)^n.
B. Pascal's triangle can be used to expand binomials with positive terms only.
C. The method for generating Pascal's triangle consists of adding adjacent terms on the preceding row to determine the term below them.
D. The nth row gives the coefficients in the expansion of (x + y)^(n-1).
The correct options are A and C.
Explaination
Pascal's triangle is a geometric representation of the binomial coefficients in the form of a triangle.
Slightly simplified, each row is one element longer than the previous row and the value of each element is the sum of the elements above left and right (if these exist).
In this way, each row has a one at the beginning and end. The row and column counts both start at zero.