math revision - sequences

• Materials required for examination: Ruler graduated in centimetres and millimetres, protractor, compasses, pen, HB pencil, eraser. Tracing paper may be used.
• Instructions: Use black ink or ball-point pen. Fill in the boxes at the top of this page with your name, centre number and candidate number. Answer all questions. Answer the questions in the spaces provided – there may be more space than you need. Calculators may be used.
• Information: The marks for each question are shown in brackets – use this as a guide as to how much time to spend on each question. Questions labelled with an asterisk (*) are ones where the quality of your written communication will be assessed – you should take particular care on these questions with your spelling, punctuation and grammar, as well as the clarity of expression.
• Advice: Read each question carefully before you start to answer it. Keep an eye on the time. Try to answer every question. Check your answers if you have time at the end.
• Arithmetic sequence


  A sequence where the difference between consecutive terms is constant
• Finding the nth term of an arithmetic sequence

  1. Identify the common difference

  2. Write the expression in the form an + b
• First 5 terms of arithmetic sequences

  • 6, 11, 16, 21, 26
  • 2, 9, 16, 23, 30
  • 3, 7, 11, 15, 19
  • 21, 17, 13, 9
• The 20th term of a number sequence is 50
• The nth term of a sequence is 2n^2
• Patterns made up of dots
• Pattern number


  Number of dots
• Pattern number 4 is not shown
• The number 387 is not a term of the sequence 3, 8, 13, 18, 23
• The number 319 is not a term of the sequence 3, 7, 11, 15, 19