Arithmetic Sequences

The first three terms of an arithmetic sequence are as follows

13, 19, 25

What are the next two terms of the sequence?

• 31 and 37

• 31 and 36

• 30 and 37

• 30 and 36

The first three terms of an arithmetic sequence are as follows.

3, -4, -11

Find the next two terms of this sequence

• -17 and -25

• -18 and -26

• -18 and -25

• -17 and -26

What is the common difference of the sequence 2, -1, -4, -7,...?

• -3

• -1

• -2

• 3

An arithmetic sequence is given below.

2, 9, 16, 23, ...

Which is the explicit formula for the n^th term a_n?

• a_n = -7n+9

• a_n = 7n-5

• a_n = 7n-9

• a_n = -7n+5

An arithmetic sequence is given below.

16, 13, 10, 7, ...

Which is the explicit formula for the n^th term a_n?

• a_n = -3n+19

• a_n = -5n+13

• a_n = 3n+13

• a_n = -5n+20

What is the common difference of the following sequence?

7, 27, 47, 67,...

• 10

• 20

• 3

• -20

What is a₁ in the following sequence?

-6, -14, -22, -30, ...

• -6

• -14

• -22

• -30

Find the 25th term of the sequence if a₁ = 5 and d = 0.5

• 18
• 17
• 15
• 14

Define arithmetic sequences.

• A sequence whose terms change by adding the same number each time.

• A sequence whose terms change by multiplying the same number each time.

• A sequence whose terms change by dividing the same number each time.

• A list of numbers that often (but not always) form a pattern.

Define common difference.

• the product between two consecutive terms of a geometric sequence.

• the product between two consecutive terms of an arithmetic sequence.

• the difference between two consecutive terms of an arithmetic sequence.

• the difference between two consecutive terms of a geometric sequence.