Question

Here is a pattern of squares. S represents the number of small squares in the pattern as a function on n, the step number. Hint: create a table and use your graphing calculator. Step 1 Step 2 Step 3 Step 4 Which expression could define S? n²+3 n +3 n²+2 3n

Answer 1

In the given figure :

Step 1 has 3 square, step 2 has 6 number of square

step 3 has 11 number of squares

step 4 has 18 number of squares

So, the sequence is 3, 6, 11, 18

As we can see that the figure makes a complete square and two more squares

So the expression will be :

`n^2+2`

Answer : C)

`n^2+2`