Gary draws this sequence of patterns of white and grey squares. The sequence is continued. How many grey squares will there be with 16 white squares?

20 gray squares

Step-by-step explanation:

Given

See attachment for squares

Required

Number of gray squares when white = 16

First, we calculate the equation that represents both squares.

The white squares

--- initial

-- difference between successive gray squares

So, the nth term is:

The gray squares

--- initial

-- difference between successive gray squares

So, the nth term is:

When the white squares is 16

--- Calculate n

To get the number of gray squares;

Substitute in

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