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.
Answer:
Not sure if I was ever able to help you but I hope you have an amazing future<#
Step-by-step explanation:
x-25= 6x-5
-5x = 20
x=-4
A litre is bigger than a millilitre.
The volume of a sphere = 4πr^3/3<span>
The volume of a half of sphere = 2</span>πr^3/3 = 2 π (27)/3 = 18π<span>
</span>The volume of a cone= π r^2 h/3 = π (9)(8)/ 3 = 24 π
Total volume = 18 π + 24π = 42π = 42 x 3.14 = 131.9 cm^3
