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.

HaleyWoodall17 Jan 19, 2016

#7**+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 sele**ct 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

#7**+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 sele**ct 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**+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....!!!!

CPhill Jan 20, 2016