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krok68 [10]
3 years ago
7

In a geometric sequence, the ratio between consecutive terms is...

Mathematics
1 answer:
Leokris [45]3 years ago
6 0
<h3>Answer: The same or equal</h3>

========================================================

Explanation:

Consider an example like 3, 6, 12, 24, 48, ...

The ratio between consecutive terms is

  • 6/3 = 2
  • 12/6 = 2
  • 24/12 = 2
  • 48/2 = 2

Each time we divide any given term over its previous one, we get the same ratio 2. We call this the common ratio. In terms of notation, the variable r is used for the common ratio, so r = 2 in this case.

As another example, the geometric sequence 5, 50, 500, 5000, ... has r = 10 as the common ratio because we multiply each term by 10 to get the next one. Moving forward has us multiply by r, moving backward and we divide by r. The value of r cannot be zero, but it can be negative.

An example with r being negative would be something like

1, -1, 1, -1, 1, -1, ....

we just bounce back and forth between those two values. In this case, r = -1.

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Please answer this question!! 30 points and brainliest!
Alexeev081 [22]

2x(-5x-3)

2x(-5x)= -10x    and 2x(-3)= -6x

= -10x sq - 6x

-10x is sq bc you are multiplying the same variable twice


5 0
3 years ago
Gina wants to make
gavmur [86]

Answer:

6.75 pounds

Step-by-step explanation:

This question is of direct variation. We will use x as our answer. 8 is 2/3 of 12, so 4.5 should be 2/3 of x. We can now make an equation.

4.5=\frac{2}{3} x\\4.5*\frac{3}{2} =\frac{2}{3} x*\frac{3}{2} \\6.75=x

In order to solve the equation, we multiply both sides by the reciprocal of 2/3, which is 3/2.

* stands for multiplication

From solving our equation, we get 6.75. We can't forget the units, so the answer is 6.75 pounds.

3 0
3 years ago
Is this function linear or nonlinear? *
Bogdan [553]

Answer:

It's linear

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
A train leaves the station and has to travel 486km. The train maintains a speed of 120km. After travelling for 3 hours and 15 mi
Anuta_ua [19.1K]

Answer:

I think its 2 hours 30 minutes

Step-by-step explanation:

7 0
3 years ago
Solve (x+y) if x=-1/2 and y=-3
bixtya [17]

Answer:

-3\frac{1}{2}

Step-by-step explanation:

Solve

(x+y)

For x=-1/2 and y=-3

substitute the value of x and the value of y in the expression above

x+y=(-\frac{1}{2})+(-3)

Remember that

(+1)(-1)=-1

so

x+y=-\frac{1}{2}-3=\frac{-1-6}{2}=-\frac{7}{2}

Convert to mixed number

-\frac{7}{2}=-\frac{6}{2}-\frac{1}{2}=-3\frac{1}{2}

7 0
3 years ago
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