Mathematics Achievement Test

Which of the following situations describes an arithmetic sequence?

• A bus arrives at a station every 15 minutes starting at 8:00 AM.

• The amount of a radioactive substance decays at a constant percentage over time.

• A ball is dropped from a building at a point 20 meters high and bounces 50% of its original height in every bounce.

• If a loan is repaid with payments that decrease by a constant percentage.

There are 130 students in grade one, 210 students in grade two and 290 students in grade three and so on at Pinagpala Elementary School. What is the total number of students in the said school?

• 1,800

• 1,980

• 2,000

• 1,890

List down the first three terms of the sequence: 푎푛=2푛(푛+1)/2.

• 1, 2, 12

• 4, 9, 16

• 1, 8, 27

• 8, 36, 96

Which of the following is NOT a geometric sequence?

• 2, 4, 6, 8, 10

• 3, 6, 12, 24, 48

• 2, 6, 18, 54, 162

• 5,−10,20,−40,80

List all the indicated terms of the finite sequence 푎푛=4n - 5 for 1 ≤ n ≤ 5.

• 10, 15, 20, 25, 30

• 12, 17, 22, 27, 32

• -1, 3, 7, 11, 15

• 13, 18, 23, 28, 33

Create the formula for the sequence: 0, 7, 26, 63, ...

• a_n = 2 + 6n

• a_n = -6 + 6n

• a_n = n^3 - 1

• a_n = 4 - 6n

The given image shows how a certain bacteria grows in a petri dish. What is the common ratio of this sequence?

• 3

• 2

• 4

• 6

Explain how you could use a graphing calculator to determine whether the data in the table to the right represents a geometric sequence.

• Multiply each term by the preceding term to see if there is a common ratio.

• Divide each term by the preceding term to see if there is a common ratio.

• Subtract each term from the preceding term to see if there is a common difference.

• Add each term to the preceding term to see if there is a common difference.

Is this division problem worked correctly?

• This is correct!

• This is incorrect, and error occurs on the 3rd line!

• This is incorrect, and the error occurs on the 4th line!

• This is incorrect, and the error occurs on the 2nd line!

Is (x-2) a factor of f(x)= x^3 - 8x^2 + 14x - 4?

• Yes, (x-2) is a factor. There is a remainder.

• No, (x-2) is not a factor. The remainder is zero.

• Yes, (x-2) is a factor. The remainder is zero.

• No, (x-2) is not a factor. There is a remainder.