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
alexandr1967 [171]
3 years ago
15

What is the sum of the geometric series 2+6+18+...+486?

Mathematics
1 answer:
marin [14]3 years ago
6 0

Answer:

728

Step-by-step explanation:

2+6+18+...+486

a=2

r=6/2=3

a_{n}=ar^{n-1}\\486=2(3)^{n-1}\\3^{n-1}=486/2=243=3^5\\n-1=5\\n=5+1=6\\S_{6}=2\frac{3^6-1}{3-1} \\=2\frac{729-1}{2}\\=728

You might be interested in
How do you solve chords and arcs in geometry?
yawa3891 [41]
<span>1. In a circle, if two chords are equal in measure, then their corresponding minor arcs are equal in measure.

2. The relationship between equality of the measures of chords and equality of the measures of their corresponding minor arcs.

3. A diameter that is perpendicular to a chord.

4. In a circle, the relationship between two chords being equal in measure and being equidistant.

5. A circle with two minor arcs equal in measure

6. A circle with a diameter perpendicular to a chord.

I don't know if this will help you but maybe it will</span>
5 0
3 years ago
Use the system of equations. Please show your steps and how you solved it!
Alinara [238K]
1. 3x+3y=15
        -3y = -3y (subtract 3y from both sides)
    3x       = 15-3y 
  ----------------------
     3         =  3   3  (divide each number by 3)
      x        = 5- y

    
6 0
3 years ago
Can someone help me with these problems and show work please !!
Flauer [41]

Answer:

I have just wrote answers

7 0
2 years ago
What are the first five terms of the sequence defined by the given function?
kenny6666 [7]

Answer: B. -6, -4, -2, 0, 2

Step-by-step explanation: Use the attachment to help you with your answer.

Anyways, have an amazing day!

8 0
3 years ago
If maria paid her supplier $8.50/doz for roses and sold them for $19.95,what was the percent markup?
Shkiper50 [21]

Answer: 42.6% or you can round it to 43%


Step-by-step explanation:


6 0
3 years ago
Other questions:
  • Engineers want to design seats in commercial aircraft so that they are wide enough to fit 99 ​% of all males.​ (Accommodating 10
    8·1 answer
  • The sales tax in your city is 4.4% and an item costs $3 before tax. How much tax would you pay on that item?
    7·1 answer
  • Subtract 5 from 6, then add 3 to the result
    5·2 answers
  • Johnny deposited $1230 in a savings account at 2.25 percent interest. How much interest will the account earn in 10 years?
    13·2 answers
  • An industrial machikne is able to make 9 pens in 3 seconds. What is the rate made per second?
    6·1 answer
  • The prices of two radios are in the ratio x:y
    15·2 answers
  • Which equation is true if S = -3
    12·2 answers
  • If a linear function y = 2x + 3 moves down 4 units, and then moves right 4 units to changes into a new function y = ax + b, find
    9·1 answer
  • Find the slope of the line. ​
    11·2 answers
  • Prove that: cos^2 (45+A)+cos^2 (45-A)=1​
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!