Copy this pattern. You could use toothpicks or paper sticks or draw the pattern on isometric paper (download here).

Make or draw the next 3 patterns in the sequence. How would you explain to someone else on the telephone how to do this  when you could not point to the diagram?

How many sticks would you need to make the 10th pattern?

What about the 100th pattern?

How do you know?

What is the same and what is different about these patterns?

Write down the numbers of sticks in these three patterns, and then in the next two patterns of this sequence.

What about the 10th and 100th terms in this sequence?

What about the nth term in these sequences?

Click here for the Notes for Teachers.

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