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
Help me pleaseee I need help
MAVERICK [17]
I think it is b because probability of 2 is 1/6 then probability of 4 is 1/6. If you times them together 1/6x1/6 it will equal 1/36 so b
6 0
3 years ago
PLS HELP ASAP!!!!!! <br> THANK UUU
Elodia [21]

Answer:

a: is 36

Step-by-step explanation:

8 0
2 years ago
7 miles into kilometres
lozanna [386]
It is 11.265 kilometers
7 0
3 years ago
Read 2 more answers
What percent represents the part of the model shaded yellow?
eduard

Answer:

a.)

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
Write an algebraic expression to match the graph<br><br> please help!
skelet666 [1.2K]

the graphed equation is:

y = -|x| + 1

<h3></h3><h3>How to find the algebraic expression that matches the graph?</h3>

On the graph, we can see an absolute value equation, which opens downwards, and passes through the points (1, 0) and (0,1).

The general absolute value equation is:

y = a*|x - b| + c

Because the vertex is at the point (0, 1), we know that:

b = 0, c = 1

Replacing that we get:

y = a*|x| + 1

Now, this must be zero when we evaluate in x = 1, then:

0 = a*|1| + 1

a = -1

Then the graphed equation is:

y = -|x| + 1

If you want to learn more about absolute value functions:

brainly.com/question/3381225

#SPJ1

4 0
2 years ago
Other questions:
  • The length of a rectangle is 4.2 cm more than 2 times the width. If the perimeter of the rectangle is 42.6 cm, what are its dime
    8·1 answer
  • -5x+9y= -18<br><br> x-intercept ( __, __ )<br> y-intercept ( __,__ )
    8·1 answer
  • What is the area of this trapezoid, I WILL GIVE BRAINLIEST TO THE CORRECT ANSWER! URGENT WORTH 90PTS
    5·2 answers
  • The angels of a triangle have a sum of 180°. The angles of a rectangle have a sum of 360°. The angels of a pentagon have a sum o
    6·1 answer
  • 1. (3x2 + 4x - 12) = (x + 5)<br> Divide using synthetic division
    5·1 answer
  • 1. What is the formula for compound interest?
    14·1 answer
  • Cuánto dinero me gasto en colocarle baldosas a una sala comedor que tiene 9.30 de largo por 4.20 metros de ancho
    15·1 answer
  • Please help meeeeee
    15·1 answer
  • Can you help me!!!!!!!!!!!!!!!!!!!!!!!!!
    5·2 answers
  • After Lou poured 2 liters of water into a large bucket, the bucket contained 10 liters of water. How many liters were in the buc
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!