1. Referring to Exercises 41 and 42, which lottery would be easier to win, Hot Lotto or 2 by 2? Why?
2. a. Find the sum of the entries in the first row of Pascal’s Triangle.
b. Find the sum of the entries in the second row of Pascal’s Triangle.
c. Find the sum of the entries in the third row of Pascal’s Triangle.
d. Find the sum of the entries in the fourth row of Pascal’s Triangle.
e. Find the sum of the entries in the fifth row of Pascal’s Triangle.
f. Is there a pattern to the answers to parts (a)–(e)?
If so, describe the pattern you see.
g. Use the pattern described in part (f) to predict the sum of the entries in the sixth row of Pascal’s Triangle.
h. Find the sum of the entries in the sixth row of Pascal’s Triangle. Was your prediction in part (g) correct?
i. Find the sum of the entries in the nth row of Pascal’s Triangle.