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What is the sum of all the odd integers between 3 and 97, inclusive?
$$Q_{n}=3Q_{n-1}$$

Quantity A

$$Q_{28}$$

Quantity B

$$Q_{11}$$


In a sequence, $$S_{1}=5$$, $$S_{n}=2*S_{n-1}$$
Quantity A: $$S_{8}$$
Quantity B: $$S_{21}/S_{13}$$
In a sequence, $$a_{1}$$=1, for any integer n greater than 1, $$a_{n}$$ is 12 times the square of its preceding term. If $$a_{5}$$=$$12^{n}$$, then what is the value of n
In a certain sequence of numbers, each term after the first term is found by multiplying the preceding term by 2 and then subtracting 3 from the product. If the 4th term in the sequence is 19, which of the following numbers are in the sequence?
Indicate all such numbers.
Sequence A: 1, –3, 4, 1, –3, 4, 1, –3, 4, ...
In the sequence above, the first 3 terms repeat without end. What is the sum of the terms of the sequence from the 150th term to the 154th term?
A list of numbers could be summarized into $$S_{n}=n•(-1)^{n}$$ (n is a positive integer), and $$S_{1}=-1$$. What`s the sum of $$S_{1}$$, $$S_{2}$$, $$S_{3}$$, ......, $$S_{97}$$, $$S_{98}$$, $$S_{499}$$?
In a sequence, $$a_{1}=4$$, $$a_{2}=2$$. If for any n greater than 2, $$a_{n}=a_{n-1}+a_{n-2}$$, then how many terms in the first 60 terms are multiples of 3?
Set S = {1, 4, 7, 10}
Set T = {2, 3, 5, 8, 13}
x is a number in set S, and y is a number in set T.
Quantity A: The number of different possible values of the product xy
Quantity B: 20
(51!-50!)÷(50!-49!)=?
Give your answer as a fraction.
The area of a square is 16. If its area increases by 6, then each of its side needs to be how much longer?

If ABCD is a square with area 625, and CEFD is a rhombus with area 500, then the area of the shaded region is?
Note: Figure not drawn to scale

BC//AD//EF, AD=9, BC=3, AB=4, CD=6
If the perimeter of CBEF is the same as DAEF, then the sum of AE+DF is?

Quantity A

The area of the shaded area

Quantity B

15



Quantity A

Length of AO

Quantity B

Length of AB



AB is a diameter of the circle above.

Quantity A

The length of AB

Quantity B

The average (arithmetic mean) of the lengths of AC and AD


If the difference between the radii of two concentric circles is 5, then what is the difference between their perimeters?
A square hole with a side of 1 foot needs to be totally covered by the base of a hemisphere. What`s the least length of the radius of the hemisphere?

The area of the shaded area is 12π. The smaller circle intersects with the bigger one at one point and passes through the center of the bigger circle. What is the diameter of the smaller circle?

The radii of the above two circles are both 3. If these two circles intersect at point P and point Q and each circle pass through the center of the other circle, then what is the total perimeter of the region (not counting the arc inside)?

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