Shooting Free Throws

John notices that with daily practice he can increase the number of free throws he makes before missing. On the first day he makes only1; on the second day 5; on the third day 14; and on the fourth day 30. If this pattern should continue, how many can he expect to make on the fifth day?

Large Powers

If you raise 3 to the 328^th power, what is the unit’s digit? Look for a pattern from

Now I know my ABC’s

What is the 100^th letter in the sequence A, B, C, A, B, C, A, B, C, ...