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.
Step-by-step explanation:
this is the answer key for that question and etc...
Answer:
C.) In perfect health.
Step-by-step explanation:
Given an average weight of 15kg and a standard deviation of 3kg for children of 4 years. Since the weight is based on a normal Z - distribution of 95% which is mean ± 2(standard deviations)
Mean weight interval is :
15 - 2(3) ; 15 + 2(3)
(9 ; 21) ; this weight interval could be interpreted to mean the normal or perfect weight value.
Therefore, given that the child weighs 12kg
Since, 12 kg falls within in the interval, we can conclude that the child is in perfect health.
The whole magic jug had 668.36 ounces of mysterious elixir in it.
Sylvia came along and marked it into 4 equal amounts, so each
amount was (1/4) of (668.36 ounces).
Now, you would have us believe, she tucked the magic jug under her cloak,
walked quickly and quietly down the hall into the shadows, pulled the jug out,
and quaffed one of the equal amounts from it, all in one slug.
The quantity remaining in the jug was then
(3/4) of (668.36 ounces) = 501.27 ounces.
The same process works for length, volume, area, stones, money, anything.
If you divide up what you have into 4 equal parts, then each part is 1/4 .
If you eat, sell, lose, or give away 1/4 of it, you have 3/4 left.
