← Lesson📄 Worksheet✅ Memo📝 Exam test🗝️ Marking guide
∑ DANEMATHICS
FREE CAPS MATHS RESOURCES
Grade 10 · Patterns
Number Patterns: Linear Sequences (Grade 10)
WORKSHEET
Name: 
Class: 
Date: 
Mark
  / 16

Answer all questions. Show all your working — marks are awarded for method as well as the final answer.

  1. 1
    Write down the constant difference of 5 ; 8 ; 11 ; 14 ; …
    (2)
    12345648121620nTₙTₙ = 3n + 2
  2. 2
    Determine the general term Tₙ of 5 ; 8 ; 11 ; 14 ; …
    (2)
  3. 3
    Calculate T₅₀ for the sequence 5 ; 8 ; 11 ; …
    (2)
  4. 4
    Which term of 5 ; 8 ; 11 ; … is equal to 47?
    (2)
  5. 5
    Is 100 a term of the sequence 5 ; 8 ; 11 ; …? Justify.
    (2)
  6. 6
    Determine the general term of 7 ; 11 ; 15 ; 19 ; …
    (2)
  7. 7
    Determine the general term of 20 ; 17 ; 14 ; 11 ; …
    (2)
  8. 8
    Explain why a linear sequence plots as a straight line.
    (2)
TOTAL: 16 marks
© Danemathics — free to print and share for classroom use.danemathics.com

Printing this sheet

  1. In the print dialog open More settings and untick “Headers and footers” — that is what prints the date, time and web address in the margin.
  2. Leave Pages per sheet on 1 so learners keep the full writing space.
  3. Choose Save as PDF as the destination to download it instead of printing.