# Lesson Worksheet: Introduction to Sequences Mathematics • 9th Grade

In this worksheet, we will practice identifying a sequence and some of the common properties of sequences.

Q1:

Is the sequence finite or infinite?

• Ainfinite
• Bfinite

Q2:

Is the following sequence arithmetic or geometric?

• AGeometric
• BArithmetic
• CNeither arithmetic nor geometric
• DBoth arithmetic and geometric

Q3:

What kind of sequence is the following: ?

• ANeither geometric nor arithmetic
• BGeometric only
• CArithmetic only
• DGeometric and arithmetic

Q4:

Which of the following sequences is not classified as arithmetic or geometric?

• A
• B
• C
• D
• E

Q5:

What kind of sequence is the following?

• AArithmetic only
• BBoth geometric and arithmetic
• CGeometric only
• DNeither geometric nor arithmetic

Q6:

Use the graph to decide whether the following sequence is an arithmetic sequence.

 Order Term 1st 2nd 3rd 4th 5th 5 11 17 21 25 • AIt is not an arithmetic sequence.
• BIt is an arithmetic sequence.

Q7:

Which of the following represents the sequence ?

• A
• B
• C
• D
• E

Q8:

Find the range of the infinite arithmetic sequence represented in the figure below. • A
• B
• C
• D
• E

Q9:

Consider the finite sequence , where two values are missing. We can think of this sequence as the function whose graph is sketched. What is the domain of the function?

• A
• B
• C
• D
• EThe set of positive integers

What is the range of the function?

• A
• B
• CThe set of all integers
• D
• E

Q10:

Consider the following pattern. Which of the following sequences represents the number of solid blue triangles in each successive term of the pattern?

• A2, 4, 12, 36
• B2, 8, 26, 80
• C2, 4, 8, 16
• D1, 3, 9, 27
• E2, 6, 18, 54

Which type of sequence is found when counting the number of solid blue triangles in the above pattern?

• ANeither geometric nor arithmetic
• BGeometric only
• CArithmetic only
• DBoth geometric and arithmetic