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$$Q_{n}=3Q_{n-1}$$

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: $$S_{21}/S_{13}$$
Sequence $$S$$: $$a_{1}, a_{2}, a_{3},......,a_{n}$$........

In sequence $$S$$, $$a_{1}$$ is an integer and $$a_{n}=2a_{n-1}$$ for all integers n greater than 1. If no term of sequence S is a multiple of 100, which of the following could be the value of $$a_{1}$$?

Indicate all such values.
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
Eugene and Penny started a job in sales on the same day. Eugene's sales for the first month were r dollars and each month after the first his sales for that month were twice his sales for the preceding month. Penny's sales for the first month were 10r dollars, and each month after the first her sales for that month were 10r dollars more than her sales for the preceding month. Which of the following statements are true?
Indicate all such statements.
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?
$$a_{1}=1$$, $$a_{2}=1$$, $$a_{n}=0.2a_{n-1}(n≥3)$$

Quantity A

$$a_{6}$$

Quantity B

$$25^{3}(0.2)^{10}$$
$$a_{1}$$, $$a_{2}$$, $$a_{3}$$,..........., $$a_{n}$$,.............

A sequence of numbers as shown above is defined by $$a_{n}=a_{n-1}-a_{n-2}$$ for n > 2. If $$a_{1}=-5$$, and $$a_{2}=4$$, what is the sum of the first 100 terms of the sequence?
A list of numbers could be summarized into $$a_{n}=(-1)^{n+1}*n$$ (n is a positive integer), and $$a_{1}=1$$
What is the sum of $$a_{1}$$, $$a_{2}$$, $$a_{3}$$,...........,$$a_{97}$$, $$a_{98}$$, $$a_{99}$$?
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?
$$a_1, a_2, a_3,.................a_n,......$$

In the sequence shown, $$a_{1}=4$$, $$a_{2}=2$$, and for all integers n greater than 2, $$a_{n}$$ is equal to the sum of the squares of $$a_{n-1}$$ and $$a_{n-2}$$. How many of the first 60 terms of the sequence are multiples of 3?
The sequence $$a_{1},a_{2},a_{3}.....a_{n}$$....is defined by $$a_{1}=2$$, $$a_{2}$$=3, and $$a_{n}$$=$$(a_{n-1})(a_{n-2})$$ for all integers n greater than 2. What is the value of $$a_{8}$$?
$$a_{1}=2$$，$$a_{2}=5$$
If $$a_{n}=a_{n-1} / a_{n-2}$$，then $$a_{135} =$$?
Give your answer as a fraction.
A positive integer is a palindrome if it reads exactly the same from right to left as it does from left to right. For example, 5 and 66 and 373 are all palindromes. How many palindromes are there between 1 and 1,000, inclusive?
N equals the number of positive 3-digit numbers that contain odd digits only (the same number could be used for more than once).

Quantity A

N

Quantity B

125

Quantity A

The number of 3-digit integers all of whose digits are even (the same number could be used for more than once)

Quantity B

The number of 3-digit integers all of whose digits are odd (the same number could be used for more than once)
S={1, 2, 3}
T={1, 2, 3, 4}

Quantity A

The total number of 4-digit positive integers that can be formed using only the digits in set S

Quantity B

The total number of 3-digit positive integers that can be formed using only the digits in set T
A three-digit code for certain locks uses the digits 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 according to the following constraints. The first digit cannot be 0 or 1, the second digit must be 0 or 1, and the second and third digits cannot both be 0 in the same code. How many different codes are possible?

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