First calculate the perimeter of the given screen that is 8 units long and 12 units wide.
Geometric, see solution.
Practice makes perfect
We know that the graphing calculator screen initially shows an area of 96 square units. The perimeter of this screen is 40 units since the width and the length of the screen are 12 and 8 units, respectively.
We know the area of the screen as we zoom out each time. Make a table to show the perimeters of the screens displayed on the screen after we zoom out.
y
Write as a product (a * b)
Perimeter 2(a+b)
96
12 * 8
2(12 + 8)=40
384
24* 16
2(24+ 16)=80
1536
48* 32
2(48+ 32)=160
Let's write the first three term of the sequence.
There is a common ratio of 2, making it a geometric sequence. Therefore, the nth term of the geometric sequence is given by the equation below. Note that the first term is 40.
a_n= a_1 r^(n-1) ⇔ a_n= 40( 2)^(n-1)
