MATH SOLVE

5 months ago

Q:
# Which of the following statements regarding Pascal's triangle are correct?A. the first and last numbers of a row are always 1.B. the nth row gives the coefficients in the expansion of (x+y)^n-1.C. the nth row gives the coefficients in the expansion of (x+y)^n.D. each number not at the end of a row, is the sum of the numbers that are directly to its right and left, in the row below.

Accepted Solution

A:

Answer with explanation:Pascal Triangle→gives coefficient of the polynomial,[tex](x+y)^n[/tex] ,from ,n=0,1,2,3.... 1 →First row 1 1 →Second raw 1 2 1 →third raw 1 3 3 1 →Fourth raw 1 5 10 5 1 →Fifth row.....................................................The statements regarding Pascal's triangle,which are correct isA. The first and last numbers of a row are always 1.B. The nth row gives the coefficients in the expansion of (x+y)^n.As, first row contains 1,term , second row has two terms,........nth row has n terms,which is the coefficients in the expansion of (x+y)^n.