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
natka813 [3]
3 years ago
12

Find the 9th term of the geometric sequence 6,-24,96... ​

Mathematics
1 answer:
spin [16.1K]3 years ago
5 0

Answer:

A9 = 393216

Step-by-step explanation:

the first thing that will help you solve this question is finding the common ratio between each terms

the first thing that I like to do that usually helps is to take the second term (-24) and divide it by the first term (6) --> this will usually help you spot the common ratio fairly quickly

in your case, the common ratio is -4

- you can also check this by following my note above and then multiplying the second term by the common ratio to see if it matches the third term, which it does!

so now you can go about this two different ways

1. solve directly for the 9th term

2. use the nth term formula for geometric sequences

METHOD 1:

if you continue to multiply by -4 to solve for each term you would end up with:

6, -24, 96, -384, 1536, -6144, 24576, -98304, 393216

and you will recieve 393216 as your answer

METHOD 2:

the nth term formula is An = A1*r^(n-1)

where An = the nth term of the sequence

A1 = first term of the sequence (6)

and r = common ratio

using this formula, you would get:

A9 = 6(-4)^8

A9 = 393216

I hope this helped :)

 

You might be interested in
80 pts! Solve the equation. <br> Please select the best answer from the choices provided.
Flauer [41]

Answer:

C

Step-by-step explanation:

We can first move the variables to one side.

We can do this by subtracting 6x from both sides.

12x^2-6x=0

Now, we can factor out 6x.

6x(2x-1)=0

Since it equals 0, we know that 2x-1=0, or 6x=0.

This is because when ab=0, either a or b must equal 0.

So we can set both of these equal to 0 to solve.

6x=0

Divide both sides by 6.

x=0

2x-1=0

Add 1 to both sides.

2x=1

Divide both sides by 2.

x=1/2

5 0
3 years ago
49 is 200% of what number
finlep [7]
Idk howbto help u it could be 67 for all i know
4 0
3 years ago
At the beginning of summer, the water level on a pond is 2 feet below its normal level. After an unusually dry summer, the water
Scilla [17]

Answer:

Step-by-step explanation:

8 0
3 years ago
What goes in water black and comes red?
NNADVOKAT [17]

Answer:lobster

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Question? <br><br> rewrite using standard notation 9.4 x 10^1 ????
grigory [225]
In general if multiplying, move decimal to RIGHT by whatever the exponent is.
In this example 10^1, the exponent = 1

9.4 with decimal moved 1 place to right = 94
3 0
3 years ago
Other questions:
  • We draw a random sample of size 25 from a normal population with variance 2.4. If the sample mean is 12.5, what is a 99% confide
    9·1 answer
  • 4(x+7)=38 what is x and explain please
    14·2 answers
  • Factorise pls answer will mark u the brainliest
    7·2 answers
  • What is the vertex of g(x)=3x3x^2-12x12x+7 ​
    6·1 answer
  • HEELLLPPP ME?!?!?!? ANYONE?
    8·1 answer
  • I'LL GIVE YOU 35 POINTSSS HELP MEEE I NEED ASSISTANCE
    7·1 answer
  • Which point is located at (Negative 0.5, 0.75)?
    8·2 answers
  • HELPPP ASAPPP pleaseee​
    5·2 answers
  • What is the decimal equivalent of 8/12
    12·1 answer
  • A cylinder has a cross-sectional area of 17m² and a length of 14 m what is the volume of the cylinder
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!