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there are four even integers in the top five rows of pascal's triangle. how many even integers are in the top 10 rows of the triangle?

Sagot :

There are 22 even numbers in the top 10 rows.

Pascal's triangle is the triangular array of numbers that begins with 1 on the top and with 1's running down the two sides of a triangle.

The tip of the triangle starts with 1 and the 1 starts continuing to both the ends of the triangle in each row and in between there is the sum.

For example:

                  1

                1   1

             1    2   1

         1   3    3     1

In the above manner, it continues.

now, for 10 rows the pascal triangle will be:

                       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

  1    7    21    35   35  21    7    1

1   8     28   56   70   56   28   8  1

1   9   36    84   126  126   84  36 9  1

for five rows in the top, the even numbers are 2, 4, 6, 4 which are 4 in total.

for 10 rows in the top, the numbers are 2, 4, 6, 4, 10, 10, 6, 20, 6, 8, 28, 56, 70, 56, 28, 8, 36, 84, 126, 126, 84, 36

Hence there are 22 even numbers in the top 10 rows.

For more information on pascal's triangle click on the link below:

https://brainly.com/question/9303796

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