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Number sequences and patternsIB MYP Maths Extended: Flashcards

What these 13 flashcards ask

  • What is the common difference of 7,11,15,19?
  • What is the nth term of 7,11,15,19?
  • How do you find a and b in an+b?
  • Find the nth term of 20,17,14,\ldots
  • List the first five square numbers.
  • List the first six triangular numbers.
  • What are the differences between triangular numbers?
  • What is a Fibonacci-type sequence?
  • How do you test whether 150 is in 4n+3?
  • Find the 50th term of 4n+3.
  • What three steps help you generalise a pattern from a diagram?
  • Tables joined in a row seat 4,6,8,\ldots people. Rule?
  • Is 25 a triangular number?

Exam questions on Number sequences and patterns

  1. A sequence begins 7, 11, 15, 19, …7,\ 11,\ 15,\ 19,\ \ldots and continues in the same way.
    Show that 150150 is not a term in the sequence.2 marks
  2. The first five triangular numbers are 1, 3, 6, 10, 151,\ 3,\ 6,\ 10,\ 15.
    Find the 1010th triangular number.2 marks
  3. The first three terms of a sequence are 20, 17, 1420,\ 17,\ 14, and the sequence continues with the same common difference.
    Find an expression for the nnth term of the sequence.3 marks
See the full worksheet

Written by the Exaim team, led by Shaun Daswani (Head of Upper Secondary, Improve ME Institute; MSc Financial Mathematics, Imperial College London; BSc, UCL) and Jason Daswani (operational lead, Improve ME Institute; LSE).