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]
2 years ago
12

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

Mathematics
1 answer:
spin [16.1K]2 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
7x + 10x + 20 = what​
RSB [31]

Answer:

the answer is 17x+20

Step-by-step explanation:

7x+10x+20

17x+20

hope it helps

mark me brainliest pls

6 0
3 years ago
Read 2 more answers
Solve –19 = x – 4. Question 9 options: A) x = –15 B) x = –23 C) x = –76 D) x = 25
AveGali [126]

Answer:

A.) x = -15

Step-by-step explanation:

-19+4 = x

x = -15

4 0
2 years ago
If x° – 7x2 + kx + 15 is exactly divisible by (x – 3), then find the value of k.​
faltersainse [42]

Answer:

k=4

Step-by-step explanation:

3 0
2 years ago
12/-4 =<br> pls help i don’t understand
Sveta_85 [38]

\text {Hello! Let's Solve this equation!}

\text {Since there is a negative in the problem this tells us that the answer we get will be a negative.}

\text {Here are some tips on dividing/multiplying equations like this.}

\text {Multiplying/Dividing a Positive to a Positive will equal a Positive}\\\text {Multiplying/Dividing a Positive to a Negative will equal a Negative}\\\text {Multiply/Dividing a Negative to a Negative will equal a Positive}\\\text {Multiplying/Dividing a Negative to a Positive will equal a Negative}

\text {Now Divide!}

\text {12/-4=}

\fbox {-3}

\text {As you can see 4 is a negative number so our result came out as a negative number.}

\text {Want to see if your answer is correct? Sure! Do the opposite of Dividing and Multiply!}

\text {-3*-4=12}

\text {Best of Luck!}

\text {-LimitedX}

6 0
2 years ago
Can someone tell me if these answers are right or not? These problems are getting on my nerves!
Bond [772]
1a. 3^1 / 3^2 = 3^1-2 = 3^-1 = 1/3^1 = 1/3.
2b. 4^2 / 4^4 = 4^2-4 = 4^-2 = 1/4^2.
3c. 6^3/6^5 = 6^3-5 = 6^-2 = 1/6^2.
4d. 3^-5 • 3^2 = 3^-10 = 1/3^10.

I believe for the last question its asking only to rewrite exponent as a positive exponent similar to the first question.
6 0
2 years ago
Other questions:
  • Henry constructed circle A with a radius of 4 units. He then created a sector as shown in the figure below. Which of the followi
    12·1 answer
  • Describe the graph of y &gt; mx, where m &gt; 0.
    15·2 answers
  • Write the equation of the circle centered at ( 4 , − 5 ) with radius 18.
    6·1 answer
  • Help!!!<br> Find the distance between the pair of points
    14·1 answer
  • How do I do probabillty
    11·2 answers
  • The number of girls in a school band is 6 more than twice the number of boys There are 98 girls in the band How many boys are in
    15·1 answer
  • Zander wants to find out what the most popular sporting event is in the district’s high schools. He surveys a sample of the popu
    14·2 answers
  • Rewrite the equation B - 11,015 = 2t as a function of t.
    14·2 answers
  • Find the area of the figure.
    8·1 answer
  • Ents
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!