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
Artyom0805 [142]
3 years ago
7

Find the geometric sum: 40 + 20 + 10 + … + 0.078125

Mathematics
1 answer:
sveticcg [70]3 years ago
4 0
S=40+20+10+\cdots+0.078125
S=40\left(1+\dfrac12+\dfrac14+\cdots+\dfrac1{512}\right)
S=40\left(1+2^{-1}+2^{-2}+\cdots+2^{-9}\right)

2^{-1}S=40\left(2^{-1}+2^{-2}+2^{-3}+\cdots+2^{-10}\right)

\implies S-2^{-1}S=40\left(1-2^{-10}\right)
\implies\dfrac12S=40\left(1-\dfrac1{1024}\right)
\implies S=80\left(1-\dfrac1{1024}\right)=\dfrac{5115}{64}=79.921875
You might be interested in
Pls help I’ll mark brainliest
Pavel [41]

Answer:

2=72 4=148  6=222  10=370 15=555 16=592

sorry about the second part i didnt see it

5 0
3 years ago
Read 2 more answers
How do I solve this problem about reflection?
marishachu [46]
F should be -1, 6
E should be -4, 2
D should be -4, 9
4 0
3 years ago
Determine the y-intercept of the
Alex777 [14]
The answer would be (0,5)
8 0
3 years ago
What is the value of x in the equation 8x-2y=48, when y=4
Oksanka [162]
8x - 2y = 48,  y =4

8x - 2(4) = 48
8x - 8 = 48
8x = 48+8
8x  = 56
x = 56/8 = 7

x = 7
8 0
3 years ago
Read 2 more answers
Please answer quickly
const2013 [10]

Answer:

72 cubic ft

Step-by-step explanation:

To find volume you multiply length × width × height

Length is 4, width is 6 and height is 3

4×6×3= 72

5 0
3 years ago
Read 2 more answers
Other questions:
  • Find the equation of the line that is parallel to y=3x-2 and that contains the points ( 2,11)
    12·1 answer
  • Write a capital letter that appears to have a perpendicular line segment
    12·1 answer
  • True or false? in a two column proof, the left cloumn contains a series of deductions
    6·1 answer
  • 14 inches to 2 yards
    12·2 answers
  • BRAINLIEST TO FIRST RIGHT ANSWER The coefficients of the first three terms in the expansion of (x – y) 4 are a) 1, –4, –6 b) 1,
    14·1 answer
  • 7^3/7 round the fraction to the nearest whole number
    6·1 answer
  • Find the missing value of: What is 13% of 100? <br>​
    14·2 answers
  • Someone help and please make sure it’s right I’m failing :’(
    5·1 answer
  • Find the additive inverse or _9.x + 3
    8·1 answer
  • Find the commission on a sale of $600 with a 5% commission rate.
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!