1.) Write the next two lines of Pascal's Triangle:
1
1 1
1 2 1
1 3 3 1
1 4 6 4 1
2.) Sum each row in Pascal's triangle above and write the sums as a sequence.
3.) Without figuring out row 10 (where the first row is called row 0), what would the sum be? The start of row 10 would be: 1 10, but do not figure out the rest of this row to answer this question.
4.) Rewrite the elements of Pascal's triangle above, except using combination notation.
Relating Pascal's Triangle to the Binomial Theorem
5.) Use your answer to number 1 and the Binomial Theorem to determine the coefficient of x5 in the expansion of (2 - 3x)6
