PLEASE HELP ILL GIVE A MEDAL TO WHO EVER ANSWERS FIRST AND CORRECTLY!!!

Examine the number triangle to determine
how it has been constructed. Then add
a row to the triangle below the last row
shown:
1
1 1 1
1 2 3 2 1
1 3 6 7 6 3 1
1 4 10 16 19 16 10 4 1

Question

PLEASE HELP ILL GIVE A MEDAL TO WHO EVER ANSWERS FIRST AND CORRECTLY!!!

Examine the number triangle to determine
how it has been constructed. Then add
a row to the triangle below the last row
shown:
                       1
                1      1      1
         1      2     3      2    1
    1    3     6     7     6     3    1
1   4   10   16  19  16    10   4   1

anonymous · Answer

A triangular number or triangle number counts the objects that can form an equilateral triangle. The nth triangle number is the number of dots composing a triangle with n dots on a side, and is equal to the sum of the n natural numbers from 1 to n. 

The next row is 1   5   15   30   45   51   45   30   15   5   1.