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题目内容
A certain holiday is always on the fourth Tuesday of Month X. If Month X has 30 days, on how many different dates of Month X can the holiday fall?
In a sequence, for any integer n greater than 1, $$a_{n}$$ is greater than its preceding term by 3 and $$a_{17}$$ is 55.

Quantity A

$$a_{98}$$

Quantity B

300
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: $$S_{21}/S_{13}$$
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

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