Three visual patterns are given below. Decide which is linear, quadratic and exponential then answer the following questions for each pattern.
- How do you see the pattern growing?
- What will step 0 or step 5 look like?
- How many squares will be in step 43?
- How many squares will be in step x?
- Write an algebraic rule to state the number of tiles in the nth stage.
- Would there ever be a stage with 58 tiles? Why or why not?