Question

Ethan started creating the following pattern using blue square blocks. How many blue squares will she need for the 8th step of the sequence?

a) 64
b) 128
c) 256
d) 512

Answer 1

To find the number of blue squares needed for the 8th step of the sequence, we need to determine the pattern being followed. Based on the options provided, the number of blue squares is doubling with each step of the sequence. Therefore, for the 8th step, the student will need 128 blue squares.

Step-by-step explanation:

To find the number of blue squares needed for the 8th step of the sequence, we need to determine the pattern being followed. Since the question doesn't provide the pattern explicitly, we can look at the provided options to infer the pattern. Based on the options, it seems that the number of blue squares is doubling with each step of the sequence.

So, for the 8th step, we can start with 1 blue square and double it 7 times:

1, 2, 4, 8, 16, 32, 64, 128

Therefore, the correct answer is option b) 128.