Work out the number of edge squares and the number of lines (matchsticks) needed to make the pattern with: side length 6, side length 25, side length 100, side length n.
Click here […]
Multiply out these expressions:
What do you notice?
Does this pattern continue?
Can you prove it?
What does this tell you about the sum to n terms of the geometric series with first term 1 and common ratio r?
Why do we get a formula for all values of r except r = 1?
Put a box around another set of four numbers and try this again.
What happens and why?Will this always happen? Why or why […]