Arithmetic Sequences

What is an arithmetic sequence?

• An arithmetic sequence is a sequence of numbers in which the difference between any two consecutive terms is constant.

• An arithmetic sequence is a sequence of numbers in which the product of any two consecutive terms is constant.

• An arithmetic sequence is a sequence of numbers in which the sum of any two consecutive terms is constant.

• An arithmetic sequence is a sequence of numbers in which the ratio between any two consecutive terms is constant.

Identify the common difference in the sequence: 2, 5, 8, 11, 14

• 3

• 2

• 6

• 10

Which of the following is an arithmetic sequence: 3, 6, 9, 12, 15 or 4, 9, 16, 25, 36?

• 4, 8, 12, 16, 20

• 2, 4, 8, 16, 32

• 3, 6, 9, 12, 15

• 5, 10, 15, 20, 25

Find the next term in the arithmetic sequence: 7, 12, 17, 22, __

• 25

• 27

• 19

• 32

Determine if the sequence is arithmetic: 1, 3, 6, 10, 15

• No

• Sometimes

• Maybe

• Yes

Calculate the 10th term of the arithmetic sequence: 4, 9, 14, 19, ...

• 37

• 30

• 49

• 24

What is the formula to find the nth term of an arithmetic sequence?

• a_n = a_1 + (n-1)d

• a_n = a_1 + d

• a_n = a_1 * (n-1)d

• a_n = a_1 + nd

If the first term of an arithmetic sequence is 3 and the common difference is 4, what is the 7th term?

• 27

• 12

• 35

• 19

In an arithmetic sequence, if a1 = 2 and d = 3, what is a5?

• 8

• 14

• 17

• 11

Explain how to identify an arithmetic sequence.

• Check if the sum of consecutive terms is constant.

• Verify if the product of consecutive terms is constant.

• Look for repeating patterns in the sequence.

• The correct answer is to check if the difference between consecutive terms is constant.