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题目内容
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 value of 6+12+18+24+-+294+300, where each term is a multiple of 6?
The number of bacteria in culture A doubles every 2 hours, and the number of bacteria in culture B increases by 50 percent every hour. At 8:00 in the morning the number of bacteria in each of the two cultures is 5,000..

Quantity A

The number of bacteria in culture A at 2:00 that afternoon

Quantity B

The number of bacteria in culture B at 2:00 that afternoon
In a sequence, $$r_{1}=1$$, $$r_{n}=(\frac{1}{5})*r_{n-1}$$ , where n is any integer greater than 1.

Quantity A

$$r_{5}$$

Quantity B

$$625*r_{10}$$
The height a plant every day increased by $$\frac{1}{2}$$ than that of the preceding day. What is the ratio of the overall height in the fourth day to that of the seventh day? Give your answer as a fraction.
At 12:55 in the afternoon,there are 250 people in a certain stadium for a game scheduled to begin at 2:15 in the afternoon.If the number of people in the stadium will double every 20 minutes until the game is scheduled to start, how many people will be in the stadium at the time the game is scheduled to start?
In a sequence, $$a_{1}=2$$, $$a_{2}=4$$, $$a_{3}=14$$, $$a_{4}=64$$, $$a_{n}= d*a_{n-1}-c$$ What is the value of c+d?
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 sequence, $$S_{1}$$=1, for any integer n greater than 1, $$S_{n}=6nS_{1}$$, what is the value of $$S_{1}+ S_{2}$$ + ...+ 300?
$$a_{1}=6$$
$$a_{n}=a_{n-1}+2$$, where n is an even integer
$$a_{n}=a_{n-1}-8$$, where n is an odd integer

Quantity A

$$a_{7}$$

Quantity B

-12
A computer identification code on a certain machine consists of 2 letters from an alphabet of 26 letters, followed by 2 digits from the digits 0 to 9. The two digits must be different. How many identification codes are possible?
Joe remembers the first 8 digits of a 10-digit telephone number. If he uses the digits he remembers,what is the maximum number of telephone numbers that he may have to enter in order to reach the correct telephone number?
Three groups of people have 8, 6 and 10 people, respectively. How many ways can you select two people from all these groups such that they are from different groups?
How many three-digit numbers could be formed out of 2, 7 and 5 such that at least one figure is used for at least twice?
Quantity A: 4!
Quantity B: 5!-4!
n and k are integers, n > k > 1

Quantity A

n!-k!

Quantity B

(n-k)!
There are 5!, or 120, ways of arranging 5 different solid-colored flags side by side. If the colors of the flags are red, blue, yellow, green, and orange, how many of those arrangements have either the red flag or the blue flag in the middle position?


In how many ways can letter a b and c be assigned into a nine palace such that no letter is used more than once in each column and each row?
In how many more ways can you select 4 books out of 8 books than when you select 4 books out of 6 books?
How many different products can be formed when selecting 2 different numbers from 0, 2, 6, 8 and 12 and multiplying them together?

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