Lesson Worksheet: Sequences as Functions Mathematics

In this worksheet, we will practice identifying arithmetic sequences as linear functions and geometric sequences as exponential functions.

Q1:

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,

Q2:

Is the following sequence arithmetic or geometric? 5.2,5.2,5.2,5.2,

  • ABoth arithmetic and geometric
  • BArithmetic only
  • CNeither arithmetic nor geometric
  • DGeometric only

Q3:

What kind of sequence is the following: 0.1,0.11,0.111,0.1111,?

  • Ageometric and arithmetic
  • Bgeometric only
  • Carithmetic only
  • Dneither geometric nor arithmetic

Q4:

What kind of sequence is the following?

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

Q5:

The graph of the first four terms of an arithmetic sequence is shown.

By writing the sequence in the form 𝑦=𝑚𝑥+𝑐, find the 23rd term of the sequence.

Q6:

What kind of sequence is the sequence 23,23,23,23,?

  • ANeither geometric nor arithmetic
  • BGeometric and arithmetic
  • CGeometric only
  • DArithmetic only

Q7:

Which of the following represents the sequence {1,2,4,8,}?

  • A
  • B
  • C
  • D
  • E

Q8:

What kind of sequence is the following?

  • ABoth geometric and arithmetic
  • BArithmetic only
  • CGeometric only
  • DNeither geometric nor arithmetic

Q9:

What kind of sequence is the following: 12,136,236,112,436,?

  • AArithmetic only
  • BNeither geometric nor arithmetic
  • CGeometric and arithmetic
  • DGeometric only

Q10:

What kind of sequence is 1,0.1,0.01,0.001,?

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

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