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
n200080 [17]
3 years ago
5

Which of the following is the rule for the geometric sequence 1, 3, 9, 27, . . .?

Mathematics
1 answer:
Serhud [2]3 years ago
6 0

Answer:

a(n) = 1 \times  {3}^{n - 1}

Step-by-step explanation:

  • We started at 1
  • And it seems that index after index it multiplies by 3
  • The formula for the geometric sequence defined implicitly is a(n) =a(1)r^(n-1)

a(n) = a(1) {r}^{n - 1}  \\  a(n) = 1 \times  {3}^{n - 1}

You might be interested in
Use the quadratic formula to solve 3x2 + 5x + 2 = 0.D. x = 2, –3
Neporo4naja [7]
Quadratic Formula:


         -b  +/-  √b² - 4ac
x = --------------------------
                 2a


In your equation 3x² + 5x + 2 = 0:

a = 3
b = 5
c = 2

Now, plug in these values into the formula.

         -5 +/- √5² - 4(3)(2)                        -5 +/- √25 - 4(6)
x = --------------------------------  ⇒  x = -----------------------------
                   2(3)                                               6
                                                                 
         -5 +/- √25 -24                    -5 +/- √1                  -5 +/- 1
x = ------------------------  ⇒  x =  ---------------  ⇒  x = --------------
                 6                                     6                            6

               -5 +/- 1
Split x = ------------ into two solutions by solving it.
                    6

        -5 + 1         -4
x = ------------ = ------ 
            6             6
 
       -5 - 1          -6
x = ----------- = ------ = -1
           6             6

The two final solutions are x = -1 and x = -4/6


8 0
3 years ago
What is the surface area of the triangular prism?​
AlladinOne [14]

Answer:

<h3>The surface area of the prism is A prism=204m2</h3>

Step-by-step explanation:

Area is the space that is contained in a two-dimensional figure.

Surface area is the total area of all of the sides and faces of a three-dimensional figure.  

To find the surface area, the area of each face is calculated and then add these areas together.

To find the area of a rectangle, multiply the length by the width .

From the graph the length of the rectangle is 10 m and the width is 8 m. Therefore, the area of the bottom face is

From the graph the length of the rectangle is 10 m and the width is 5 m. Therefore, the area of one of the rectangular side faces is

To find the area of a triangle use the following formula  where b is the base and h is the height.

From the graph the base of the triangle is 8 m and the height is 3 m. Therefore, the area of one of the triangular faces is

The surface area of the prism is the sum of the area of the bottom face, the area of the two rectangular side faces, and the area of the two triangular faces

<h3>brain liest me pls</h3>
8 0
3 years ago
Please help, will mark brainliest if correct!!!
Hatshy [7]

Answer:8.5

Step-by-step explanation:

Pythagorean Theorem

A

a^2 + b^2 = c^2

3^2 + 8^2 = c^2

9 + 64 = c^2

73 = c^2

C= Sqrt (73)

C = 8.5

6 0
3 years ago
Mary can paint a house 12 hours. if Nancy helps, it takes them 2 hours. without help, how long would it take Nancy to complete t
Talja [164]
I would say it takes Nancy 10 hours
3 0
3 years ago
7) Simplify:<br> (3x)2<br> 3x3
Vsevolod [243]

Answer:

3x3

Step-by-step explanation:

3=3

3x3(1)

1x2

2+1

answer 3x3

8 0
3 years ago
Read 2 more answers
Other questions:
  • Notebooks cost $1.20 each. This weekend they will be $.80 What percentage is the sale?
    15·2 answers
  • Simplify (2y-1)(4y-3)
    9·1 answer
  • Find the sum of the first 6 terms of geometric series 2-10+50+.....
    14·1 answer
  • A doctor ordered 300 ml of a 10% solution,but the pharmacy only has 5% and 25% solutions. How many millimeters of each solution
    13·1 answer
  • (4x2y3)2=? thank you for the help
    7·1 answer
  • Can someone help me with this question
    10·1 answer
  • Kiara drew a scale drawing of an apartment. The scale of the drawing was 11 millimeters : 4 meters. The actual length of the din
    6·1 answer
  • What is the reciprocal of -3 2/7 ? -3 7/2 -23/7 -7/23 3 2/7​
    14·2 answers
  • HELP PLEASE!! ASAP HURRY PLEASE (NO LINKS)
    5·1 answer
  • Which function is represented by the graph?
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!