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:
P(Selecting a student aged 12)= (13/27)
Step-by-step explanation:
first find the value of (e), by getting the value of (b). check no.2.
0.11 pounds
Is that what you were looking for?
Answer:
First, for end behavior, the highest power of x is x^3 and it is positive. So towards infinity, the graph will be positive, and towards negative infinity the graph will be negative (because this is a cubic graph)
To find the zeros, you set the equation equal to 0 and solve for x
x^3+2x^2-8x=0
x(x^2+2x-8)=0
x(x+4)(x-2)=0
x=0 x=-4 x=2
So the zeros are at 0, -4, and 2. Therefore, you can plot the points (0,0), (-4,0) and (2,0)
And we can plug values into the original that are between each of the zeros to see which intervals are positive or negative.
Plugging in a -5 gets us -35
-1 gets us 9
1 gets us -5
3 gets us 21
So now you know end behavior, zeroes, and signs of intervals
Hope this helps
<h3>
Answer: $17.50</h3>
Explanation:
The sale is 50% which means we'll cut the price in half
50% of $35 = 0.50*35 = 17.50
You save $17.50 and must pay the remaining $17.50 as the final price.
