A charity group’s target is to raise a certain amount of money in a year. At the end of the first month the group raised 36% of the target amount, and at the end of each subsequent month they manage to raise exactly half of the amount outstanding.

a. How many months will it take the group to raise 99% of the money?

b. Name a type of representation that will show that the group fails to reach its target by the end of the year. Explain how this fact would be shown in the representation.