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.


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

  • Ainfinite
  • Bfinite


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

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


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

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


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,


What kind of sequence is the following?

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


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

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


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

  • A
  • B
  • C
  • D
  • E


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}
  • D
  • E[8,4]


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}


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

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