The answer is A: blue square.

The rule
The pattern repeats every 3 things: purple diamond, blue square, blue square. Then it starts again from the beginning.
The pattern as Python code
Here is a tiny Python program that follows the same rule. Type it into IDLE and run it to print the whole pattern, including the answer.
pattern = ["purple diamond", "blue square", "blue square"]
for position in range(8):
print(position + 1, pattern[position % len(pattern)])
When you run it, Python prints:
1 purple diamond 2 blue square 3 blue square 4 purple diamond 5 blue square 6 blue square 7 purple diamond 8 blue square
Pixel says: Try changing a number in the code and run it again. Can you make the pattern go on for 20 steps? Meow!