Question

Which of the following statements regarding Pascal's triangle are correct?

Answer 1

Answer:

The statements regarding Pascal's triangle which are correct are:

     C) The method for generating Pascal's triangle consist 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 $(x+y)^{n-1}$

Step-by-step explanation:

The Pascal cycle is build as follows:

       The sum of the adjacent row is equal to the terms in the below row.

Also, each row is a Palindrome i.e. the terms in a row are  symmetric i.e. the number read from left is same if it is read from right.

Hence, the Pascal's triangle is given as:

                              1

                             1  1

                           1  2  1

                          1 3  3  1

                        1  4  6  4  1  

                       1  5 10 10 5 1

                      1 6 15  20 15 6 1

and so on.

    Hence, the correct options are:

    Option: C and Option: D  

                         

Answer 2

The answers are A,C,D. Hope this helps.