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.
120 + 90 = 210 points
350 - 210 = 140 OR
351 - 210 = 141 (if it must be more than 350, you need <em>at least </em>351 points total, or 141 more points, to get a grade B)
Answer:
x = 12
Step-by-step explanation:
18:24 (comparing the same sides for the similar shapes; 18 and 24) when simplified down is equal to 3:4.
Using this 3:4 scale factor we can find the missing side x.
Solving for x :
× 16 = 12
x = 12
OR: Set up a proportion:
× 
<em>cross-multiply</em>
16 × 18 = 288
24 × x = 24x
288 = 24x
x = 12
Answer:
30
Step-by-step explanation:
538 = 540
509 = 510
40 - 10 = 30
