Answer:
Step-by-step explanation:
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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.
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:
The number of students who prefer chocolate milk is 780 .
Step-by-step explanation:
Given as :
The total number of students in the school = 1200
The percentage of students who prefer plain white milk = 35 %
Let the number of students who prefer chocolate milk = x
Now, ∵ The percentage of students who prefer plain white milk = 35 %
∴ The percentage of students who prefer chocolate milk = 100 % - 35 % = 65%
So , As The number of students who prefer chocolate milk = x
Or, 65 % of total number of students in school = x
So, x = × 1200
or, x =
∴ x = 780
So, the number of students who prefer chocolate milk = x = 780
And students who prefer plain white milk = 1200 - x = 1200 - 780 = 420
Hence, The number of students who prefer chocolate milk is 780 . Answer