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
 

The triangle above was named for the famous French mathematician Blaise Pascal, who wrote about its many patterns in 1653.  It is known as Pascal's Triangle.  I use this pattern when multiplying binomials in algebra.
Help me find the next two rows of Pascal's Triangle and tell me what patterns you can find.