20/35 and 21/35. The common denominator is 35.
We are given the first term and the common ratio, this means they belong to a geometric series.
For the given series:

Each term of the geometric series is obtained by multiplying the previous term by common ratio.
So the next terms will be:
-4.5, -6.75, -10.125, -15.1875, -22.78125
The general formula for the G.P would be:

On plotting the series, the result will be like this:
Answer:
x = 5.142
Step-by-step explanation:
<em>2=-74+14x</em>
if you want to make x the subject (work out its value), you need to single out x
1) the first thing that we can do is get rid of the -74
2) do this by adding it on to both sides of the equation. This is called the inverse
<em>2+-74=-72 -74+14x=14x</em>
<em>-72=14x</em>
3) to get x on its own, we now need to get rid of the 14
REMEMBER:<em> 14x = 14×x</em>
4) We do the inverse by dividing both sides by 14
<em>-72÷14=-5.142..</em>.
its surprising that its not an integer
<em>5.142=x</em>
<em>x=5.142 </em>
PLEASE LET ME KNOW IF THIS IS CORRECT
28 miles per gallon. To find miles per gallon you do miles divided by gallons which in this case is 322/11.5=28.
If you need any more help feel free to message me.
The <em>first three</em> elements of the <em>recursive</em> series are 6, 10, 8. (Correct choice: B)
<h3>How to generate values from a recursive function</h3>
In this question we have a kind of <em>recursive</em> function known as Fibonacci's function, where a value of the series is generated from at least <em>immediately previous</em> elements. In this case, we need to find the <em>first</em> three elements from the <em>fifth</em> and <em>fourth</em> elements of the series:

a₄ = a₅ - a₆ + 4
a₄ = - 2 - 0 + 4
a₄ = 2
a₃ = a₄ - a₅ + 4
a₃ = 2 - (- 2) + 4
a₃ = 8
a₂ = a₃ - a₄ + 4
a₂ = 8 - 2 + 4
a₂ = 10
a₁ = a₂ - a₃ + 4
a₁ = 10 - 8 + 4
a₁ = 6
The <em>first three</em> elements of the <em>recursive</em> series are 6, 10, 8. (Correct choice: B)
To learn more on recursive series: brainly.com/question/8972906
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