Question

What's the pattern 320, 160, 80, 40, ___, ___, ___, show your work!!!

Answer 1

320, 160, 80, 40, 20, 10, 5

Explanation:

320, 160, 80, 40, ___, ___, ___,

To find out the pattern we look at the number how they are decreasing

first number is 320 and second number is 160

`(160)/(320) = (1)/(2)`

`(80)/(160) = (1)/(2)`

`(40)/(80) = (1)/(2)`

Common ratio is 1/2

To get next term we multiply by 1/2

`40 \cdot (1)/(2) = 20`

`20 \cdot (1)/(2) = 10`

`10 \cdot (1)/(2) =5`

Next three terms are 20,10 and 5

Answer 2

320, 160, 80, 40, 20, 10, 5
Let's start from the right and go left
5 x 2 = 10
10 x 2 = 20
20 x 2 = 40
40 x 2 = 80
80 x 2 = 160
160 x 2 = 320
All of this is being multiplied by two, but now, let's go from left to right
320/2 = 160
160/2 = 80
80/2 = 40
40/2 = 20
20/2 = 10
10/2 = 5
All of this is being divided by 2
Divided by 2 is the pattern