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Topic: Sequences (Foundation - Unit 2)

Specification References: N6.1

N6.1 Generate terms of a sequence using term-to-term and position to term definitions of the sequence.


Candidates should be able to:

  • generate common integer sequences, including sequences of odd or even integers, squared integers, powers of 2, powers of 10 and triangular numbers
  • generate simple sequences derived from diagrams and complete a table of results describing the pattern shown by the diagrams

Notes

Candidates should be able to describe how a sequence continues and will need to be familiar with the idea of a non-linear sequence, such as the triangular numbers or a sequence where the nth term is given by n2 + 4.

Examples

  1. Write down the next three terms of this sequence    23,   18,   13,   8,   ...,   ...,   ....

view more examples

  1. Write down the first three terms of a sequence where the nth term is given by n2 + 4

  2. Without drawing the pattern, work out how many crosses there are in pattern 7 of this sequence:

      x   x x   x x x   x x x x
          x x   x x x   x x x x
                x x x   x x x x
                        x x x x