Answer:
a(100) = 298 squares
Step-by-step explanation:
It seems to be an arithmetic sequence problem but I'm not quite sure. Here's how I would have solved it:
The general term for an arithmetic sequence is an = a1 + (n - 1) d
the common difference would be case 2 squares - case 1 squares, or 4 - 1 =3
a1 represents the 1st term, which is case 1 or one square.
Now we can just substitute for variable and place in a value for n:
an = 1 + (n - 1)(3)
an = 1 + 3n -3
an = 3n -2
Now, we just set n = 100, so
a(100) = 3 (100) -2
a(100) = 298 squares
