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
34kurt
3 years ago
8

What is the fifth term of the geometric sequence whose first three terms are 486, 162, and 54?

Mathematics
1 answer:
Scorpion4ik [409]3 years ago
3 0

Answer:

6

Step-by-step explanation:

an = ar^(n-1)

a = first term

n = nth term

r = common ratio

r = r2 / r1 = r3 / r2

The first 3 terms are :

486, 162, and 54

Hence,

a = 486

r = 162 / 486 = 1/3

Hence ;

a5 = 486(1/3)^5 - 1

a5 = 486(1/3)^4

a5 = 486(1 / 81)

a5 = 486 * 1 / 81

a5 = 486 / 81

a5 = 6

The 5th term of the geometric progression will be ; 6

You might be interested in
Find the distance between the two points in simplest radical form.<br> (1, -7) and (7,0)
denis23 [38]

Answer:

The <u>distance</u> <em>between</em> the two given points is equal to √85.

Step-by-step explanation:

Let's recall what the distance formula is:

\displaystyle \huge\math\boxed{d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2} }

We are defined our two points as:

  • (x₁, y₁) → (1, -7)
  • (x₂, y₂) → (7, 0)

We can rewrite this into our different "variables":

  • x₁ = 1
  • y₁ = -7
  • x₂ = 7
  • y₂ = 0

Now given our distance formula and our variables, we can find the distance between the two points:

\displaystyle\huge\begin{aligned}d & = \sqrt{(1 - 7)^2 + (7 - 0)^2} \\& = \sqrt{(-6)^2 + (7)^2} \\& = \sqrt{36 + 49} \\& = \math\boxed{\sqrt{85}} \\\end{aligned}

∴ since the radical is already in its simplest form, our distance between the two points is equal to √85.

Hope this helps!

5 0
2 years ago
Read 2 more answers
Write 74 in expanded form. Then check all that apply. The base is 7. The exponent is 4. The exponent tells you to multiply 7 tog
rewona [7]

Answer:

7*7*7*7

Step-by-step explanation:

=> 7^4

<u><em>This means that 7 is multiplied 4 times</em></u>

So, it becomes:

=> (7×7×7×7)

3 0
3 years ago
Read 2 more answers
Mrs. Parson baked 25 cookies. 4 fifths of the cookies were oatmeal. How many oatmeal cookies did Mrs. Parson bake?
lutik1710 [3]

Answer:

I think the answer is 20 ..........

Step-by-step explanation:

5

7 0
2 years ago
I need an explanation step by step for this question. Thx
Harrizon [31]

Answer:

1:5, 5, 15

Step-by-step explanation:

The original ratio of red marbles to white marbles is 6:30 and you need to know how many white marbles are expected with 3 red marbles so you have to make the # of red marbles 3 so you can divide by 2 and you'll get 15 white marble or you could've divided both sides by 6 and get the ratio of red marbles to white marbles as 1:5 and you can see that for every one red marble there is 5 white marbles.

8 0
3 years ago
Lisa has three classes that each last 50 minutes. What is the total number of minutes the three classes last?
nikklg [1K]
The total number of minutes for all casses is 150 minutes
3 0
3 years ago
Read 2 more answers
Other questions:
  • Which of the following is a perfect square trinomial ? PLEASE HELP!!!!!!!!!!!!!!!!!
    6·1 answer
  • a garage floor measures 150 feet by 120 feet a scale drawing of the floor on grid paper uses a scale of 1 unit : 15feet what are
    7·2 answers
  • Mathilda has 20 pints of green paint.She uses 2/5 of it to paint a landscape and 3/10 of it while painting a clover.She decides
    9·1 answer
  • Solve the equation by factoring. 2x^2 + 15x + 25 = 0
    5·2 answers
  • Car dealerships claim to make most of their money from servicing cars. In a certain month, an Acura dealership sold fifteen less
    13·1 answer
  • What is 10/2+3 + 6+3/3 simplified in order of operations?
    10·1 answer
  • Which equation should we use when solving for the value?<br>y=4x-17<br>y=2x-9​
    12·1 answer
  • If my teacher is giving 6 prizes and I am the first one to get the prize. She says it’s in an envelope ✉️ what is it I will give
    9·1 answer
  • 300/15 gallons. Find the unit rate
    8·1 answer
  • Toy It Examine the worked problem and solve the equation. 4 4 1 (x) 1 = 9 3 3 1 1 + 3 3 4 3 :9+ 3 3 28 The solution is x=
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!