+472 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.
+118667 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 ://
+1832 1 - multiply by - 3
2 - multiply by 3
3 - divude by 4
4 - divide by four
+118667 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 ://
+129847 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....!!!!
