Lesson Worksheet: Introduction to Sequences Mathematics • 9th Grade

Start Practising

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

Q1:

Is the sequence (−9,−6,−3,0,…,21) finite or infinite?

  • Ainfinite
  • Bfinite

Q2:

Is the following sequence arithmetic or geometric? 11,33,99,297,…

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

Q3:

What kind of sequence is the following: 1,110,1100,11,000,…?

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

Q4:

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

  • A13,−13,−1,−53,…
  • B12,14,18,116,…
  • C12,1,32,2,…
  • D1,12,0,−12,…
  • E12,13,14,15,…

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.

Order1st2nd3rd4th5th
Term511172125
  • AIt is not an arithmetic sequence.
  • BIt is an arithmetic sequence.

Q7:

Which of the following represents the sequence {1,2,3,4,…}?

  • A
  • B
  • C
  • D
  • E

Q8:

Find the range of the infinite arithmetic sequence represented in the figure below.

  • A{4,0,−4,−8,…}
  • B{1,2,3,4,…}
  • C{4,0,−4,−8}
  • Dℝ
  • E[−8,4]

Q9:

Consider the finite sequence {20,14,8,2,−4,,,−22}, 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{1,2,3,4,5,6,7,8}
  • C{0,1,2,3,4,5,6,7}
  • D[0,∞)
  • EThe set of positive integers

What is the range of the function?

  • A(−∞,∞)
  • B[20,−22]
  • CThe set of all integers
  • D{1,2,3,4,5,6,7,8}
  • E{20,14,8,2,−4,−10,−16,−22}

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

Practice Means Progress

Download the Nagwa Practice app to access 25 additional questions for this lesson!

scan me!

Nagwa uses cookies to ensure you get the best experience on our website. Learn more about our Privacy Policy.