Description of Levels

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Level 1 - Linear sequences of matchstick patterns

Level 2 - Linear sequences of chairs and tables

When you have done those why not progress to:

Sequences Level 2 - Find the nth term of linear sequences

Sequences Level 3 - Find a given term of linear sequences

Sequences Level 4 - Mixed questions about geometric sequences

Sequences Level 5 - Mixed questions about sequences and series

Curriculum Reference

Example

Filling in the first three cells of the table is simply a case of counting the number of matches needed to make the first three patterns.

You may have noticed by now how many additional matches it takes to make the next pattern in the sequence. It's the same each time you change one pattern to the next. In this case it is 5.

The numbers in the table go up by 5 each time just like the five times table. The general term of the five times table is 5n where n are the counting numbers (1, 2, 3, 4...).

The first four terms of the five times table are 5, 10, 15 and 20.

The numbers in our table are each one more than that so the n^th term is 5n+1. This formula can be used to work out the 92^nd term of the sequence i.e. 5x92+1 = 461

Don't wait until you have finished the exercise before you click on the 'Check' button. Click it often as you work through the questions to see if you are answering them correctly.

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