Question

picture a pattern block pattern consisting of red,red,red,green,green,yellow,green,green,red,red,red. If this pattern were continued, what color would the 586th piece be? How many of each color would be used when the 586th piece was added?

Answer 1

Think of it as multiples of 11, as after 11 colours the pattern begins again. (that is providing that after red, red, red is another set of red,red,red)

Answer 2

In this way we see that 586 / 11 = 53 remainder 3, so it will be the third colour of this sequence (red)

Answer 3

we also know that for each set of 11 we have 6 red, 4 green and a yellow.
Since we have 53 sets of 11 we will have 318 red, 212 green and 53 yellows, PLUS the three additional reds that would come after so :
321 reds,
212 Green,
35 yellows

Answer 4

Thank you!