The explicit rule for the arithmetic sequence for the sequence is a(n) = 3n + 2.
<h3>What is a sequence?</h3>
It is defined as the systematic way of representing the data that follows a certain rule of arithmetic.
We have given:
and


The above expression represents the common ratio:
d = 3
First term:
a = 5
The explicit rule for the arithmetic sequence:
a(n) = 5 + (n - 1)3
a(n) = 3n + 2
Thus, the explicit rule for the arithmetic sequence for the sequence is a(n) = 3n + 2.
Learn more about the sequence here:
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Answer:
The equation is in the form y=mx+b, where m=slope, b=y-intercept.
The y-intercept is 35: so the line goes through the y-axis at (0,35).
The slope is 25: so we need to count out the slope as rise over run, or 25 up and 1 to the right, starting from the y-intercept.
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Answer:
160 mL of fruit juice and 400 mL of sparkling water
Step-by-step explanation:
According to the statement we have that the ratio between fruit juice and sparkling water is 2/5.
Therefore, we could also say that:
200/500
with it could be done with 200 mL of fruit juice and 500 mL of sparkling water, so for 400 mL, how much would it be:
400 * 200/500 = 160
Therefore, the largest amount of the drink can be made with 160 mL of fruit juice and 400 mL of sparkling water.
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I am so sorry, I cannot keep ruining the constitution