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
Kipish [7]
3 years ago
13

Find the sum of the geometric series 1 + 0.8 + 0.8^2 +0.8^3 + ... + 0.8^{19}

Mathematics
1 answer:
Ainat [17]3 years ago
5 0

Answer:

S20 ≈ 4.942

Step-by-step explanation:

Sum of a geometric series is expressed as Sn = a(1-rⁿ)/1-r if r<1

a is the first term

r is the common ratio

n is the number of terms

Given the geometric series

1 + 0.8 + 0.8^2 +0.8^3 + ... + 0.8^{19}

Given a = 1,

r = 0.8/1 = 0.8²/0.8 = 0.8

n = 20 (The total number of terms in the series is 20)

Substituting this values in the formula above.

S20 = 1(1-0.8^20)/1-0.8

S20 = 1-0.01153/0.2

S20 = 0.9885/0.2

S20 ≈ 4.942

You might be interested in
I am going 60 miles away and I am driving 40 miles per hour the whole way how long will it take me to get there
andrezito [222]

if you are driving 40 miles per hour

1 hour = 40 miles


60-40 = 20 miles left

20/40 = 0.5

1+0.5 = 1.5 total hours

8 0
3 years ago
Help please thanks in advance
DochEvi [55]
What does the black say, the options
3 0
3 years ago
Can someone pls help me with question 7 :(<br> Ignore above text x
cricket20 [7]

Answer: x= 30 because the elevated point is 25 degrees and if you add it with 110 and subtract it with 35 you get 110 + 25 = 135 and 35 - 25 = 15 135 + 15 = 150 and 180 - 150 = 30. so it is 30 degrees. (tell me if i was wrong cause i'm 90% sure this is it but i don't know.)

6 0
3 years ago
What is the median for the set of data shown below?
JulsSmile [24]
42. This is because you cross out the numbers left from right until theres a number inbetween.
8 0
3 years ago
Read 2 more answers
Someone please check these 5 questions for me if you do i will give brainliest as always if they are correct and please do not w
shutvik [7]
I know for a fact that #1 is wrong. its supposed to be 18. for the median height of giraffes. and #2 is correct 63 acres. but im not sure how to do a leaf plot . 
3 0
3 years ago
Other questions:
  • What is the square root of 49
    6·2 answers
  • How to fine all possible four digit combinations to a large number
    15·1 answer
  • 40% of the groups budget was spent on activities. If $64,000 was spent on the activities, what was the full budget? solve with t
    12·1 answer
  • A cab company charges
    5·1 answer
  • Please help. I’ll mark you as brainliest if correct!!!
    11·1 answer
  • The measures of two angles have a a sum of 180°. The measures if the angles are in a ratio of 5:1. Determine the measures of bot
    11·1 answer
  • Please help please please help please
    5·1 answer
  • In addition to rent, people who live in apartments often have to pay for what?
    10·2 answers
  • Solve the equation<br>-3|3x+6|+2=9​
    7·1 answer
  • Whats the percent change from 100 to 140​
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!