1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Dvinal [7]
3 years ago
7

Find the common ratio of the following geometric sequence. If necessary, use the slash bar ( / ) to enter a fraction. Reduce fra

ctions to their lowest terms.,
2/5 , -4/15 , 8/45 , -4/15 , -8/45
Mathematics
1 answer:
algol [13]3 years ago
5 0
We have that
<span>2/5 , -4/15 , 8/45 , -4/15 , -8/45

we know that
 
</span><span>A geometric sequence is defined by   
a(n + 1) = r*a(n)
so
r = a(n + 1) / a(n)</span>

Let
a1=2/5
a2=-4/15
a3=8/45

a2/a1=(-4/15)/(2/5)=-20/30------> -2/3
a3/a2=(8/45)/(-4/15)=-20/30------> -30/45--------> -2/3

<span>the common ratio is
</span>r=-2/3
calculate
a4=r*a3---------> (-2/3)*8/45-----> -16/135
a5=r*a4--------> (-2/3)*(-16/135)-----> 32/405

the correct geometric sequence is 
2/5 , -4/15 , 8/45 , -16/135 , 32/405, .....

the answer is
the common ratio is r=-2/3

You might be interested in
7. A movie theatre just opened 2 new theatres. One theatre has
Nataly_w [17]
The smallest number of seats that both theatres can have us 60
8 0
3 years ago
Write 64 as a power two different ways
Anna [14]
2 to the power of 6 or 4 to the power of 3

8 0
3 years ago
Read 2 more answers
The graph below shows the solution set of which inequality ?? HELP FASTTT
Maru [420]

<u>Answer:</u>

<h2>A.</h2>

The graph shows the solution set of the equality √x < -1

<em>(No Solutions)</em>

4 0
3 years ago
A customer wants you to enlarge a photo to 22 its current height. The photo's current height is 31 inches. What should its enlar
stiks02 [169]

Answer:

The enlarged height of the photo must be 682 inches

Step-by-step explanation:

A customer wants to enlarge the image by 22 times

Hence, the scale factor = +22

Now, the current height of the photo = 31 inches

Therefore, to find the enlarged height : we need to multiply the scale factor of the required image by the current height of the photo.

Hence, Enlarged Height = 22 × 31

                                         = 682 inches

So, The enlarged height of the photo must be 682 inches

8 0
3 years ago
What did the Beat generation writers try to defeat in America?
MariettaO [177]
<span>The literary movement called the Beat generation belongs to the post World War II period. As they tried to defeat traditionalism in America, they influenced the whole cultural scene, fighting for nonconformity.</span>
7 0
3 years ago
Read 2 more answers
Other questions:
  • I need to know the answer for the picture
    6·2 answers
  • A geometric sequence is defined by the recursive formula t1 = 64, tn = tn - 1 2 , where n ∈N and n &gt; 1. The sequence is A) -6
    11·1 answer
  • <img src="https://tex.z-dn.net/?f=The%20sum%20of%20two%20numbers%20is57%20and%20the%20difference%20is3%20.%20What%20are%20the%20
    14·2 answers
  • Which of these is a step in constructing an equilateral triangle using technology
    5·2 answers
  • Put 19/22 into a percentage​
    6·2 answers
  • If you were to solve the equation x+14=22, what steps would you take to solve this equation?​
    11·1 answer
  • GEOMETRY - triangle similarity
    10·2 answers
  • Does y=-x+5 have one solution, no solution, or infinite solutions?
    8·2 answers
  • Someone help please!!!!!​
    13·1 answer
  • Someone help please
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!