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30. The correct answer is (A). [–] 2
n
+ 2
n
+ 2
n
= x(2
n + 1
)
2
2
(2
n
) = x(2
n + 1
)
2
n+2
= x(2
n + 1
)
x = 2
n + 2
÷ 2
n + 1
= 2
(n + 2) – (n + 1)
= 2
1
= 2
31. The correct answer is (D). [–] i
1
= i i
5
= i
i
9
= i
i
2
= –1 i
6
= –1 i
10
= –1
i
3
= –i i
7
= –i i
11
= –i
i
4
= 1
i
8
= 1
i
12
= 1
And the pattern repeats itself. Therefore, i raised to any power that is a multiple of 4 is equal to 1.
32. The correct answer is (B). [+] The general equation for a circle is x
2
+ y
2
= r
2
, where r is the radius.
So the length of the radius of the circle above, which is also the length of the minor axis of the ellipse,
is 12. So the area of the ellipse is:
And (B) is the best response.

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Mathematics Level IC/IIC Subject Tests
243
ARCO
■ SAT II Subject Tests
w w w . p e t e r s o n s . c o m / a r c o
33. The correct answer is (E). [0] You should recognize the figure as the graph of the secant function
displaced one unit up on the coordinate axis.
34. The correct answer is (D).
As x approaches 1, x + 1 approaches 2. (Note: Although the expression is not defined at x = 1, we are not
concerned with what happens at that point.)