The sequence of areas for a single red square for the first five pictures is 1, 1/2, 1/4, 1/8, 1/16
How to determine the first five sequence?
The area of the first square is given as:
A = 1
From the figure, the side length of the second square is
L = √2/2
So, the area is
A = (√2/2)^2
Evaluate
A = 1/2
So, the pattern is
1, 1/2
Since the pattern is a geometric pattern, the common ratio i
r = 1/2 /1
This gives
r = 1/2
So, we have
1, 1/2, 1/4, 1/8, 1/16
Hence, the sequence of areas for a single red square for the first five pictures is 1, 1/2, 1/4, 1/8, 1/16
Read more about geometric progression at:
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