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tatiyna
3 years ago
5

Consider the sequence -2, 6, -18, 54,

Mathematics
1 answer:
hram777 [196]3 years ago
6 0

Answer: The sequence is geometric

Step-by-step explanation:

In an arithmetic sequence, the consecutive terms differ by a common difference and this difference is linear.

Common difference = given term - the term before it

In geometric progression, the consecutive terms differ by a common ratio this difference is exponential.

Common ratio = given term/the term before it

Looking at the given sequence,

1) d = 6 - - 2 is not equal to - 18 - 6

Therefore, it is not an arithmetic sequence

2) r = 6/- 2 = - 18/6 = - 3

Therefore, it is a geometric sequence.

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The dimensions of a pet carrier is 20 inches
Sergeu [11.5K]

Answer:

2702.5 inches cubed

Step-by-step explanation:

20 x 11\frac{3}{4} x 11\frac{1}{2} = 2702.5

3 0
2 years ago
How many times can 95 go into 96
Tanzania [10]

Answer:24 times


Step-by-step explanation:Hi there!  

First of all, division is the opposite of multiplication.  So if I  

divide 72 by 3 I should get 24, since 3*24 = 72.  

(You might notice that our division looks sort of like the  

multiplication:

24

X 3

___

12

60

----

72

just in a different order.)

OK, back to long division.

The process of long division goes sort of like this:

1. Write the problem

2. Make a guess of what the answer will be

3. Check your guess, fix it if you need to

4. "Bring down"

5. Repeat  steps 2-4 until you're out of digits

So for 72 divided by three, the process would go like this:

1. Write the problem

 ----

3|72

That means 72 divided by 3, also called 3 into 72, etc.

2. Make a guess of what the answer is.

Let's cover up the 2 in 72 for a minute:  (This lets us ignore the place  

value, etc.)

 ----

3|7?

Now let's ask:  How many times does 3 go into 7?

You can make whatever guess you want.  But since we have a good idea of  

what the answer should be, let's guess 2.  

Now we write the 2 above the 7 like this:

 2

 ----

3|7?

Now, to check that we're right, we need to subtract 2 3's from 7.

We do this by multiplying 2X3 (to get 6) and then writing:

  2

 ----

3| 7?

 -6

 __

  1

We need the 2 from 72 again, so let's write it in again. In fact, we're

going to "bring it down" next to the 1 to make 12. Then we'll guess how  

many times 3 goes into 12, and so on.

Anyway:

  2

 ----

3| 72

 -6 |     <---that's supposed to be an arrow reminding you that we're

 __\ /        bringing down the 2 to make 12

  12        

Ok. So, how many times does 3 go into 12?  Let's guess 4 (sorry, I'm  

cheating since I know the answer already!)

  24

 ----

3| 72

 -6    

  -

  12

Now let's multiply 3 X 4.  Wow! We get 12.  If we subtract 12-12

   24

 ----

3| 72

 -6

  -

  12

-  12

  ---

   0

Now, we can check to make sure that 3 X 24 really does equal 72, and  

we're done.


4 0
3 years ago
Side length 6cm ,6cm, 4cm. How many different triangles can you make ?
Klio2033 [76]

Answer:

Technically, one (they equal the same thing) but 2 in this case.

Step-by-step explanation:

6 + 6 + 4

6 + 4 + 6

7 0
3 years ago
Read 2 more answers
Lesson Application Problem 521
noname [10]

Answer:

  1st to 4th: Sam, Cras, Randy, Charte

Step-by-step explanation:

The places are determined by putting the times in increasing order.

<u>time</u>, <u>place</u>, <u>name</u>

25.85, 1st place, Sam

25.90, 2nd place, Cras

32.20, 3rd place, Randy

32.28, 4th place, Charte

_____

<em>Additional comment</em>

Sometimes it is easier to compare values when they all have the same number of decimal places.

3 0
3 years ago
HELP I DONT GET THIS AT ALL. ITS ABOUT INEQUALITIES EXPLANATION NEEDED
wel

Answer:

Since the slope of the line is (31/4 - 25/4) / (5/4 - 3/4) = 3 that means that for every 1 that x increases, y increases by 3 so an example could be 1 3/4 for x and 9 1/4 for y.

7 0
3 years ago
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