(a) getting the difference of outputs of any two inputs that are 1 unit apart, we have the following: -3 – (-11) = 8 5 – (-3) = 8 13 – 5 = 8 21 – 13 = 8 29 – 21 = 8 37 – 29 = 8 45 – 37 = 8 53 – 45 = 8 (b) getting the difference of outputs of any two inputs that are 2 units apart, we have the following: 5 – (-11) = 16 13 – (-3) = 16 21 – 5 = 16 29 – 13 = 16 37 – 21 = 16 45 – 29 = 16 53 – 37 = 16 (c) getting the difference of outputs of any two inputs that are 3 units apart, we have the following: 13 – (-11) = 24 21 – (-3) = 24 29 – 5 = 24 37 – 13 = 24 45 – 21 = 24 53 – 29 = 24 (d) To get the ratio of the required problem, first we divide the first difference of outputs by one input interval, that is 8÷1=8 Next, we divide the second differences of outputs by two input intervals, that is 16÷2=8 Lastly, we divide the third differences of outputs by three input intervals, that is 24÷3=8 Notice that each ratio have the same result which is 8. This means that whatever the number input intervals are, between two outputs is 8 times apart.
