2018 is the 70th term of the progression.
Explanation
We start out finding the common difference of the progression:
46-17 = 29
Now we write the explicit formula for the sequence. It is of the form

We set this equal to 2018 to see if the answer is a whole number. If it is, it will be the term number that gives us 2018:
2018=17+29(n-1)
Using the distributive property,
2018=17+29*n-29*1
2018=17+29n-29
Combine like terms:
2018=29n-12
Add 12 to both sides:
2018+12=29n-12+12
2030=29n
Divide both sides by 29:
2030/29=29n/29
70=n
Since n=70, this means 2018 is the 70th term of the sequence.
Answer:
e. 72 inches
Step-by-step explanation:
Well, firstly to find the lengths of the sides, we would have to find the square root of 36 (which is 6, as 6x6=36).
Now, if we enlarge the square by SF 3, the new side lengths would be 6x3=18 inches. That is only one side.
Now we know the length of one side, we can do 18x4 (because as we all know, squares have 4 sides) to find the perimeter.
18x4=72 inches. This means the answer is option e.
Answer:
15 girls, 10 boys
Step-by-step explanation:
Since the ratio is 3:2, then the ratio can be rewritten as 15:10. So there are 15 girls and 10 boys