Answer:
n squared + 3n + 1
Step-by-step explanation:
5,11,19,29
Firstly look at the difference between each number. The first difference is 6 then 8 then 10 etc. After that you look at your created sequence - 6,8,10 etc. The difference is 2 each time. Then applying rules, you have to do the constant difference divided by 2 to get a coefficient of n squared. So in this case it's n squared because 2/2 = 1 so you don't have to place a 1 in front of the n squared. After you create a sequence from the n squared. That would be 1,4,9 etc. Then you need to see how to get from the sequence: 1,4,9 etc to your original sequence: 5,11,19 etc. So if you calculate it you will get 4,7,10 because firstly 5-1 = 4 then 11-4 = 7 etc. The sequence 4,7,10 is a linear sequence so the constant difference is 3 each time. So to get a nth term of a linear sequence you will start off as 3n then you will substitute 1 then 2 then 3 into the 3n. Therefore that would be 3,6 etc. So if you take the first substituted term, that would be 3 as said before then you will have to see how to get from the 3 to 4 so that is just adding 1. So the nth term of this linear sequence is 3n + 1. Check if it works at the end. So the overall nth term of the quadratic sequence is n squared as said before + 3n + 1.
Before the mechanic worked on it, it cost .09 (cents) per mile. After the mechanic worked on it, it cost .08 (cents) per mile. Divide the number of gallons by the miles in each case and multiply the result by 4.
Answer:
c. 20
Step-by-step explanation:
Calculation to determine Which of the following is the resulting MAD value that can be computed from this data
Using this formula
MAD= [ABS( Year 1 actual unit demand - Forecast) + ABS (Year 2 actual unit demand - Forecast) + ABS (Year 3 actual unit demand - Forecast) + ABS (Year 4 actual unit demand - Forecast)]/ Number of years
Let plug in the formula
MAD = [ABS(100 - 120) + ABS (105 - 120) + ABS (135 - 120) + ABS (150 - 120)]/4
MAD =(ABS 20) + (ABS 15) + (ABS 15) + (ABS 30)/4
MAD= 80/4
MAD=20
Therefore the resulting MAD value that can be computed from this data is 20
