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Here is a pattern of squares.a. Sketch or describe the figure in Step 4 and Step 15.b. How many small squares will there be in each of these steps?c. Write an equation to represent the relationship between the step number, , and the number of small squares, , in each step.

Here is a pattern of squares.a. Sketch or describe the figure in Step 4 and Step 15.b-example-1
User Silverzx
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For solving the problem we have to notice the following:

With this information we can predict the form of the figures n=4 and n=15

For each step, there will be


n^2^{}

small squares, where n is number of the step. So for step 4 there are 16 small squares and for n=15 there will be 225 small squares.

Finally the equation that represents the relation between the number of step and the number of small squares is


\#\text{smallsquares}=(\#step)^2

Here is a pattern of squares.a. Sketch or describe the figure in Step 4 and Step 15.b-example-1
Here is a pattern of squares.a. Sketch or describe the figure in Step 4 and Step 15.b-example-2
User DutchKevv
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