10 PRACTICE TEST

Calculate the differences between consecutive terms in the sequence: 4, 9, 16, 25, 36, …

• 5, 7, 9, 11

• 2, 3, 4, 5

• 7, 9, 11, 13

• 3, 5, 7, 9

What is the seventh term in the sequence: 2, 8, 18, 32, 50, …?

• 34

• 81

• 98

• 35

Find the pattern for the nth term of the sequence: 1, 4, 9, 16, 25, …

• 𝑛+1

• 𝑛²

• 2𝑛−1

• 𝑛(𝑛−1)

Write the rule for the nth term of a sequence where the tiles are arranged such that the sequence starts with 11, 13, 15, 17, 19, …

• 𝑇_𝑛=𝑛+1

• 𝑇_𝑛=𝑛²+1

• 𝑇_𝑛=𝑛(𝑛+1)

• 𝑇_𝑛=2𝑛−1

If the number of tiles in each segment is given by the formula 𝟐𝒏^𝟐+𝟏, how many tiles will be in the 5th segment of the path?

• 51

• 41

• 33

• 56

Which of the following best illustrates an arithmetic sequence?

• 3, 6, 12, 24, 48

• 2, 5, 10, 17, 26

• 5, 9, 13, 17, 21

• 1, 4, 9, 16, 25

Which of the following is true about an arithmetic sequence?

• The difference between the squares of the consecutive terms is constant.

• The difference between consecutive terms is constant.

• The quotient of consecutive terms is constant.

• The sum of consecutive terms is constant.

A gardener plants flowers in rows. The first row has C flowers, and each new row has d more flowers than the previous row. Which formula correctly shows how many flowers (F_n​) are in the nth row?

• F_n​=C+n

• F_n​=C⋅dⁿ

• F_n​=C+(n−1)d

• F_n​=C−dn

Carlos is arranging chairs in rows for an event. The first row has 25 chairs, and each new row has 5 more chairs than the previous one. How many chairs will be in the 8th row?

• 45 chairs

• 50 chairs

• 55 chairs

• 60 chairs

In a library, the number of books on each shelf forms an arithmetic sequence. What does "arithmetic mean" refer to in this context?

• The total number of shelves

• The average number of books on each shelf

• The number of books on the middle shelf

• The difference between the most and least books on a shelf