Exploring Sequences and Patterns

What is the next term in the sequence 2, 5, 8, 11?

• 12

• 16

• 10

• 14

Describe the rule for the sequence 3, 6, 9, 12.

• The rule is to add 2 to the previous term.

• The rule is to multiply the previous term by 3.

• The rule is to subtract 3 from the previous term.

• The rule is to add 3 to the previous term.

What is the common difference in the sequence 10, 15, 20, 25?

• 10

• 20

• 5

• 15

Is the sequence 4, 8, 16, 32 an arithmetic sequence? Why or why not?

• No, it is not an arithmetic sequence.

• Yes, it is an arithmetic sequence with a common difference of 4.

• No, it is an arithmetic sequence because the numbers are all even.

• Yes, it is an arithmetic sequence because the difference is constant.

Find the next term in the geometric sequence 3, 9, 27, 81.

• 81

• 243

• 162

• 324

What is the rule for the sequence 1, 4, 7, 10?

• The rule is to add 3 to the previous number.

• The rule is to add 2 to the previous number.

• The rule is to multiply the previous number by 3.

• The rule is to subtract 3 from the previous number.

Determine the common difference of the sequence 7, 14, 21, 28.

• 5

• 10

• 14

• 7

Is the sequence 5, 10, 20, 40 a geometric sequence? Explain your answer.

• Yes, the sequence is a geometric sequence.

• No, the sequence does not follow a consistent ratio.

• Yes, the sequence has a constant difference.

• No, the sequence is an arithmetic sequence.

What is the next term in the sequence 12, 10, 8, 6?

• 0

• 4

• 2

• 5

Describe the rule for the sequence 2, 4, 8, 16, 32.

• Each term is double the previous term.

• Each term is half of the previous term.

• Each term is the sum of the previous two terms.

• Each term increases by 2.