The pattern they're looking for in the uppermost question is 0,2,6,14,30,62.
The second problem shows the Fibonacci sequence. Each number is the sum of the two numbers before it. So:
2,3,5,8,13,21,34
34 are the number of miles she'll run on Week 8.
The equation on the bottom right is M = 5p. The first two numbers in the function table are 25 and 50.