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+10
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Find the common ratio of the sequence.

1. –6, 18, –54, 162, . . .

2. –4, –12, –36, –108, . . .

3. –112, –28, –7, –1.75, . . .

4. –160, –40, –10, –2.5, . . .

 

5. Find the next three terms of the sequence 2, 4, 8, 16, . . .

 

6. Find the next three terms of the sequence –2, 4, –8, 16, . . .

 

Determine whether the sequence is arithmetic or geometric.

7. –15, –31, –47, –63, . . . 

 

8. 24, 12, 0, –12, . . . 

 

Find the first, fourth, and eighth terms of the sequence.

 

9. A(n) = −5 ⋅ 2n − 1

 

10. You drop a ball from a height of 0.5 meter. Each curved path has 56% of the height of the previous 

path.

a. Write a rule for the sequence using centimeters. The initial height is given by the term n = 1.

b. What height will the ball be at the top of the fourth path?

 

11. Find the next three terms of the sequence. Then write a rule for the sequence.

320, 160, 80, 40

 

12. Find the next three terms of the sequence. Then write a rule for the sequence.

405, 135, 45, 15

 

13. Find the next three terms of the sequence. Then write a rule for the sequence.

2048, 512, 128, 32

 

14. Write a rule and find the given term in the geometric sequence described below. Show your work.

What is the eighth term when the first term is -4 and the common ratio is − 1/2?

 

15. What happens to the terms of a sequence if the common ratio is 1? Explain your answer.

 Jan 19, 2016

Best Answer 

 #7
avatar+118687 
+10

1. –6, 18, –54, 162, . . .

 

Hi haley,

Find the common ratio of the sequence.

1. –6, 18, –54, 162, . . .

 

To find the common ratio r of any sequence you select any term and divide it by the term before it.

 

so

\( r=18\div -6\\or\\ r=-54\div 18\\or\\ r=-162\div -54\\\)

 

do all these and you will see what I mean.

 

you can do the next 3 yourself.

 

Haley please don't put all your homework up like this.  We are here to help you learn not to do all your HW for you ://

 Jan 20, 2016
 #1
avatar+743 
0

this is confusing hey xvxvxvmight know

 Jan 19, 2016
 #2
avatar
0

Don't expect people to do your homework!!!!!.

 Jan 19, 2016
 #3
avatar+1832 
+10

1 -  multiply by - 3 

2 -  multiply by 3

3 - divude by 4  

4 -  divide by four 

 Jan 19, 2016
 #4
avatar+472 
0

Can I have more help pless  

 Jan 20, 2016
 #5
avatar+1832 
+5

Do you understand the first four questions ? 

 Jan 20, 2016
 #6
avatar+5265 
+5

5. ...32,64,128

6. ...-32,64,-128

 Jan 20, 2016
 #7
avatar+118687 
+10
Best Answer

1. –6, 18, –54, 162, . . .

 

Hi haley,

Find the common ratio of the sequence.

1. –6, 18, –54, 162, . . .

 

To find the common ratio r of any sequence you select any term and divide it by the term before it.

 

so

\( r=18\div -6\\or\\ r=-54\div 18\\or\\ r=-162\div -54\\\)

 

do all these and you will see what I mean.

 

you can do the next 3 yourself.

 

Haley please don't put all your homework up like this.  We are here to help you learn not to do all your HW for you ://

Melody Jan 20, 2016
 #8
avatar+129899 
+10

7. arithmetic....we are adding -16 to each term to get the next one

 

8. arithmetic......we are subtracting 12 each time

 

9.  You should be able to do this one

 

 

10. note  ..      .5 meters  =  50cm

 

Here's the formula for the height before the nth bounce

 

H = 50(.56)n-1 

 

The top of  the 4th full arc will occur before the 5th bounce....so

 

H  =  50 (.56)(5 -1)  =  50 (.56)4 =  4.91725 cm

 

 

15.   If the common ratio were =1 , all the terms would be the same as the first one....!!!!

 

 

 

cool cool cool

 Jan 20, 2016

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