Question

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.

Answer 1

Answer with explanation:

Pascal Triangle→gives coefficient of the polynomial,
`(x+y)^n` ,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 is

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.

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.