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
Anika [276]
3 years ago
8

What is the sum of the geometric series

Mathematics
1 answer:
Sergio039 [100]3 years ago
5 0
Answer: 2343 / 256

Explanation

I will do this for you in two forms: 1) adding each term, and 2) using the general formula for the sum of geometric series.

1) Adding the terms:

 4
∑ 3 (3/4)^i = 3 (3/4)^0 + 3 (3/4)^1 + 3 (3/4)^2 + 3 (3/4)^3 + 3 (3/4)^4
i=0

= 3 + 9/4 + 27/16 + 81/64 + 243/256 = [256*3 + 27*16 + 64*9 + 4*81 + 243] / 256 =

= 2343 / 256

2) Using the formula:

n-1
∑ A (r^i) = A [1 - r^(n) ] / [ 1 - r]
i=0

Here n - 1 = 4 => n = 5

r = 3/4

A = 3

Therefore the sum is 3 [ 1 - (3/4)^5 ] / [ 1 - (3/4) ] =

= 3 [ 1 - (3^5) / (4^5) ] / [ 1/4 ] = 3 { [ (4^5) - (3^5) ] / (4^5) } / {1/4} =

= (3 * 781) / (4^5) / (1/4) =  3 * 781 / (4^4) = 2343 / 256

So, no doubt, the answer is 2343 / 256
You might be interested in
The graph shows the relationship between the amount of milk and water used in a recipe
SpyIntel [72]

Answer:

Multiply the amount of milk by 4

Step-by-step explanation:

Given

See attachment for graph

Required

The rule of the graph

Pick any two points on the graph

(x_1,y_1) = (0,0)

(x_2,y_2) = (1,4)

Calculate slope (m)

m = \frac{y_2 - y_1}{x_2 - x_1}

m = \frac{4 - 0}{1 - 0}

m = \frac{4}{1}

m =4

The graph equation is:

y = m(x - x_1) + y_1

y = 4(x - 0) + 0

y = 4(x)

y = 4x

<em>The above shows that the x values are multiplied by 4 to get y</em>

8 0
2 years ago
The radius of a circle is 8 kilometers. What is the length of a 45° arc?
Andru [333]
45/360 × 8 squared pi = 25 kilometers
4 0
2 years ago
You purchase a hat for $17.98. The tax rate is 7%. What is the total cost, with
11111nata11111 [884]

Answer:

I believe the correct answer is B

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
Tate the order and type of each transformation of the graph of the function
klasskru [66]

Answer:

left 1 unit, reflection about the x-axis, up 1 unit

Step-by-step explanation:

This is a cubic that has been moved left 1 unit because of the (x+1)^3 part.

It also has been moved up one unit because of the plus 1 on the outside of the cube.

There has also been a reflection across the x-axis because of the -1 in front of the -(x+1)^3 part.

In general, g(x-h)+k means:

1) the function g has been moved right (if h is positive) or moved left (if h is negative).

2) the function g has been moved up (if k is positive) or down (if k is negative)

6 0
3 years ago
WILL GIVE BRAINLIEST TO PERSON WHO ANSWERS
Tpy6a [65]
A² - 225 = (a-15)(a+15)
..................................................................
7 0
3 years ago
Other questions:
  • Name the property used to make the conclusion. If x=y and y=4, then x=4.
    15·1 answer
  • Which of the following is the graph of f(x) = x^2? Click on the graph until the correct graph appears.
    7·1 answer
  • SOMEONE HELP PLZ!!!!!!!
    11·2 answers
  • The number of tourists visiting a city doubles every month during the two-month period beginning in Jan, 1st and ending
    6·1 answer
  • The radius of a circle is 1 foot what is the circle's area USE 3.14 FOR PI​
    15·1 answer
  • A triangle has sides with lengths 17, 12, and 9. Is the triangle right, acute, or obtuse?
    13·1 answer
  • Equation of a slope with slope of 1 and y-intercept of 3
    8·1 answer
  • Help if you can. Thank You.
    14·1 answer
  • The price of a t-shirt is $50.00. If you buy 4 shirts, you will get 10% discount. How much will the discount be if you buy 8 shi
    13·1 answer
  • 201 ft<br> 15 ft 6<br> 200 ft<br> Find the perimeter of the triangle
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!