Final answer:
The color sequence (blue, green, purple) repeats every 3 stickers. Since 36 divided by 3 equals 12 with no remainder, the 36th sticker in Mia's sequence will be purple, matching the color that appears every third sticker.
Step-by-step explanation:
The student is arranging stickers in a repeating pattern of blue, green, and purple. To determine the color of the 36th sticker, we can observe the sequence and realize that the pattern repeats every three stickers. The sequence can be mapped as follows: 1st is blue, 2nd is green, 3rd is purple, and then it repeats. Because 36 is divisible by 3, we can find out the color of the 36th sticker by determining the remainder when 36 is divided by the length of the pattern.
N = 8 implies that every 8th sticker is blue since blue appears every third sticker in the sequence. Since 36 divided by 3 leaves no remainder, we conclude that the 36th sticker should match quite well with the 3rd sticker in the simple repeating sequence, which is purple. Thus, Mia's 36th sticker will be purple.