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
andre [41]
3 years ago
7

Enter the explicit rule for the geometric sequence. 9,6,4,83,…

Mathematics
1 answer:
soldier1979 [14.2K]3 years ago
8 0

Answer:

a_n = 2^(n - 1) 3^(3 - n)


Step-by-step explanation:

9,6,4,8/3,…

a1 = 3^2

a2 = 3 * 2

a3 = 2^2

As we can see, the 3 ^x is decreasing and the 2^ y is increasing

We need to play with the exponent in terms of n

Lets look at the exponent for the base of 2

a1 = 3^2  2^0

a2 = 3^1   2^1

a3 =    3^ 0 2^2

an =   3^      2^(n-1)

I picked n-1  because that is where it starts  0

 n = 1   (1-1) =0

  n=2   (2-1) =1

  n=3  (3-1) =2

Now we need to figure out the exponent for the 3 base

I will pick (3-n)

n =1  (3-1) =2

n =2  (3-2) =1

n=3    (3-3) =0

You might be interested in
Solve for w<br><br> Simplify as much as possible <br><br> 3(3w-5)=12<br><br> plz help ty ;)
Masteriza [31]

Step-by-step explanation:

Simplifying

3(3w + -5) = 12

Reorder the terms:

3(-5 + 3w) = 12

(-5 * 3 + 3w * 3) = 12

(-15 + 9w) = 12

Solving

-15 + 9w = 12

Solving for variable 'w'.

Move all terms containing w to the left, all other terms to the right.

Add '15' to each side of the equation.

-15 + 15 + 9w = 12 + 15

Combine like terms: -15 + 15 = 0

0 + 9w = 12 + 15

9w = 12 + 15

Combine like terms: 12 + 15 = 27

9w = 27

Divide each side by '9'.

w = 3

Simplifying

w = 3

8 0
2 years ago
Read 2 more answers
Help please
Mademuasel [1]
If Triangle ABC is similar to triangle DEF, then ∠A is congruent to ∠D, ∠B is congruent to ∠E, and ∠C is congruent to ∠F.

If ∠E = 40°, then ∠B = 40°.

There are 180° in a triangle. If ∠A = 35° and ∠B = 40°, then ∠C = 180° - 35° - 40°.

180 - 35 - 40 = 105°
m∠C = 105°
8 0
3 years ago
What is the degree measure of the angle formed by the hands of a clock when the time is 12:00
Sloan [31]

Answer:

0 degrees

Step-by-step explanation:

when it is hour 12 and 0 minutes, the hour and minute hand will be on top of each other, so therefore it does not form an angle

7 0
3 years ago
Plsssssssss helppppppp
Maurinko [17]

the answer is the third one on the page that is it my dude

5 0
2 years ago
the population of Glendale this year is 3,200 more than half of last year's population. the population this year is 26,300 which
zmey [24]
26,300 = 1/2x + 3200......with x being last years population
3 0
3 years ago
Other questions:
  • The cafeteria sells 498 cartons of milk and 246 bottles of juice every day how many total milk and juice containers are sold eac
    5·1 answer
  • Yuto left his house at 10 a.M. To go for a bike ride. By the time Yuto's sister Riko left their house, Yuto was already 5.25 mil
    12·2 answers
  • Solve 2x + 4 &gt; 16.<br> NEED ANSWER ASAP
    15·2 answers
  • Factor 54+27 using the GCF.
    10·2 answers
  • What is 2.03 written in words and numbers?
    15·2 answers
  • Work out the mean for the data set below: 1003, 1005
    6·2 answers
  • Use the graph to find the difference in temperature<br>between 11 A.M. and 1 P.M.<br>​
    13·1 answer
  • Need help on this asapppppp
    8·1 answer
  • A coat with an original price tag of $400 was marked down by 40%. You have a coupon good for an additional 25% off. What is the
    14·2 answers
  • Use the model to find the product.
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!