The question requires us to find out by how much did Kendra increased her distance every day: The first day she hiked 1/8 miles the second day she hiked 3/8 miles third day she hiked 5/8 miles this can be written as arithmetic sequence given by: 1/8,3/8,5/8,... the arithmetic difference will be: 3/8-1/8=5/8-3/8=2/8 This means that Kendra increased her daily distance by 2/8 miles