How many squares will be in case 100?

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

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