Question

Which expression represents the relationship between the step number n and the total number of small squares in the pattern? A Step 1 Step 2 Step 3 n²-n n2-1 n²+n n²+1

Answer 1

We can see in the sequence is :

$0,3,8$

That is a squar of side 1 minus one square so the solution will be:

$n^2-1$

and we can replace the first 3 steps to be sure of the answe so:

$\begin{gathered} 1\to1^2-1=0 \\ 2\to2^2-1=3 \\ 3\to3^2-1=8 \end{gathered}$