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
Solve.<br> <img src="https://tex.z-dn.net/?f=2%205%2F6%20%2B%20%28-1%204%2F12%29%20%3D" id="TexFormula1" title="2 5/6 + (-1 4/12
Vladimir79 [104]

Answer:

3

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
A recipe for beef stew calls for 1 pound of beef and 3 potatoes the recipe is doubled to include 2 pounds of beef and 6 potatoes
Lerok [7]

Pounds of beef and potatoes are in ratio or proportion of \frac{1}{3} .

<u>Step-by-step explanation:</u>

Correct Question: A recipe for beef stew calls for 1 pound of beef and 3 potatoes. The recipe is doubled to include 2 pounds of beef and 6 potatoes. Which proportion represents the situation?

We have , A recipe for beef stew calls for 1 pound of beef and 3 potatoes , i.e.

Number of beef stew calls = 1

Number of potatoes = 3

Now , The recipe is doubled to include 2 pounds of beef and 6 potatoes i.e. for every 2 pounds of beef we have 6 potatoes

⇒ 2/6

⇒ \frac{2}{6}

⇒ \frac{2}{2(3)}

⇒ \frac{1}{3}

Therefore , Pounds of beef and potatoes are in ratio or proportion of \frac{1}{3} .

4 0
3 years ago
Read 2 more answers
Scott took out a 72 month loan for $35,000 to purchase a new boat. If Scott paid $8,925 in simple interest, what was the interes
diamong [38]

Answer:

Option 4.7% = 3,500 x 4.7% =$164.50 simple annual interest.

82.25 this is what Scott will pay in 6 months at simple interest.

 

Option 4.2% =3,500 x (1 +0.042/12)^6 =3,500 x 1.0035^6=$3,574.15.

3,500 =$74.15 this is what Scott will pay in 6 months at compounded interest.

 

The compound option is cheaper by: 74.15 =$8.10.

6 0
3 years ago
Read 2 more answers
To pay for a $23,700 motorcycle, Carmen made a down payment of $3900 and took out a loan for the rest. On the loan, she paid mon
kari74 [83]

Answer:

<h3>a.)</h3>

Carmen paid monthly payments of $438.27 for 4 years.

i.e.,

1 year = 12 months

4 year = 12 × 4 = 48 months

So,

438.27 × 48 = $21,036.96

Now, the total amount including down payment is,

$21,036.96 + $3900 = $24,936.96

Thus, The total amount Carmen ended up paying for the motorcycle (including the down payment and monthly payments) is $24,936.96.

 

<h3>b.)</h3>

Interest did Carmen pay on the loan,

$24,936.96 - $23,700 = $1236.96

Thus, The answer is $1236.96.

 

<u>-TheUnknownScientist</u><u> 72</u>

3 0
2 years ago
Read 2 more answers
Jeff saw 7 identical
Shkiper50 [21]

Answer:

$45

Step-by-step explanation:

5 0
3 years ago
Other questions:
  • Please help! Which one is it!?
    5·1 answer
  • What is the mean of the set of numbers? 123.4, 178.92, 0.64, 12.98, and 166.66
    10·1 answer
  • Pleaseee help me I’m stuck
    13·1 answer
  • Solve the equation 3+2/5x=11-2/5x using at least two different sequences of steps. Show your work for each step.​
    10·1 answer
  • What is the probability that a student who plays an instrument is in band
    12·1 answer
  • Jay went on a diet and lost 5 pounds each month. Find Jay's net weight change in 6 months.
    15·1 answer
  • If one die is rolled then find the probability of event that the number on the
    13·2 answers
  • URGENT !!!!!!!!! Please answer correctly !!!!! Will be marking Brianliest !!!!!!!!!!!!!!!!
    12·1 answer
  • MATH Simplify the expression -6w + (-8) + 1 + (-7w)
    11·1 answer
  • There are three different sections to sit in at a baseball park. The number of people who can sit in each section is described b
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!