The common ratio of both the formulas is 3 and 2. The first formula is explicit and the second is the recursive formula.
<h3>What is the recursive rule?</h3>
A rule is defined such that its definition includes itself.
1.
The given sequence is
-2, -6, -18, -54
Common ratio ;
r = -6 / -2 = 3

This given formula is the explicit formula.
2.
The given sequence is
4, 8, 16, 32
Common ratio ;
r = 8 / 4 = 2

This given formula is the recursive formula.
Learn more about the recursive rule and explicit rules here:
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Answer:
12 divided by 1 1/5 = 60/11 in lowest term
I hope this helps you.
Step-by-step explanation:
Simplify the expression.
Answer:
The required equation is: 
Step-by-step explanation:
We need to find equation from the table given
x f(x)
3 -5
7 -2
11 1
15 4
We can write equation in the form of 
where m is slope and b is y-intercept.
Finding Slope
We can used the slope formula to find slope: 
From the table we have: 
Putting values and finding slope

So, we get slope 
Now, finding y-intercept
Using the slope
and point (3,-5) we can find y-intercept

The y-intercept is 
So, the equation having slope
and y-intercept
will be:

The required equation is: 
Answer:
$33.81
Step-by-step explanation:
2.49*3 = 7.47 dollars for 3 pounds of strawberries
3.19*2 = 6.38 dollars for 2 pounds of blueberries
4.99*4 = 19.96 dollars for 4 pounds of pineapple
7.47 + 6.38 + 19.96 = 33.81 dollars spent in total
9514 1404 393
Answer:
55,637.8 square inches
Step-by-step explanation:
We can find side n using the Law of Sines:
n/sin(N) = p/sin(P)
n = p(sin(N)/sin(P)) = 600·sin(64°)/sin(96°)
n ≈ 542.246913 . . . . inches
The angle O is ...
O = 180° -N -P = 180° -64° -96° = 20°
Then the area is ...
A = 1/2·np·sin(O)
A = (1/2)(542.246913 in)(600 in)·sin(20°) ≈ 55,637.81008 in²
The area of ∆NOP is about 55,637.8 in².