Inferences and Conclusions from Data

  1. OPEN ENDED Write an arithmetic series for which S5 = 10.
  2. OPEN ENDED Write a geometric series for which r = ½ and n = 4.
  3. Writing in Math Use the information on page 649 to explain how arithmetic series apply to amphitheaters. Explain what the sequence and the series that can be formed from the given numbers represent, and show two ways to find the seating capacity of the amphitheater if it has ten rows of seats.
  4. Writing in Math Use the information on page 663 to explain how e-mailing a joke is related to a geometric series. Include an explanation of how the situation could be changed to make it better to use a formula than to add terms.