Question: The repeating decimal 0.18181818 . . . can be expressed as the infinite geometric series Determine the rational number whose decimal expression is 0.18181818 .

The repeating decimal 0.18181818 . . . can be expressed as the infinite geometric series3 (13) +18(7) + 0.18(7) + 100 100 0.18 0.18[

Determine the rational number whose decimal expression is 0.18181818 . . . .

3 (13) +18(7) + 0.18(7) + 100 100 0.18 0.18[

Step by Step Solution

★★★★★

3.40 Rating (163 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

The infinite geometric series i... View full answer

blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Calculus With Applications Questions!

Q:

The repeating decimal 0.222222 . . . can be expressed as infinite geometric series By finding the sum of the series, determine the rational number whose decimal expansion is 0.222222. . . . -0.2(1) +...

Q:

The forward-difference formula can be expressed as f(x0) = 1/h[f (x0 + h) f (x0)] - h/2f''(x0) - h2/6 f'''(x0) + O(h3). Use extrapolation to derive an O (h3) formula for f'(x0).

Q:

The put-call parity rule can be expressed as C - P = [f0(T) - X] (1 + r) - T. Consider the following data: f0(T) = 102, X = 100, r = 0.1, T = 0.25, C = 4, and P = 1.75. A few calculations will show...

Q:

Just tell me what topic/type of math is, everyone of them, no need to solve cuz i already solve them, just tell me what TYPE of math 1. What kind of sequence is 5, 7, 9, 11, 13? a, arithmetic b....

Q:

Question 1: (1 point) The 315 Fibonacci number is 1,346,269 and the 32nd Fibonacci number is 2, 178,309. Determine the 33d Fibonacci number? The 33rd Fibonacci number is: - question 2: (1 point) call...

Q:

1. Select the answers that best complete the given statements. A sequence in which each term after the first is obtained by multiplying the preceding term by a fixed nonzero constant is called a/an...

Q:

Need help with screenshots 1 through 7. All information required in solving these problems can be found below. However, if you think you need any more information, do not hesitate to let me know! I...

Q:

PowerPoint Assignment for BUS 401: Principles of Finance You have been asked by a manager in your organization to put together a training program explaining Net Present Value (NPV) and Future Value...

Q:

Directions for Problem #4 in Excel The goal of this problem is to have you: Use Excel to generate the future value of each of the various investments made over the course of the 25 years. Use Excel...

Q:

list Evaluate the following integral K dx 2 + 4x + 20 Question 1 Question 2 dx 2 + 4X + 20 tan * + C (Type an exact answer.) O Question 3 O Question 4 O Question 5 Question 6ng thuc chinh... (14)...

Q:

1. What do you think about Mikes labor-intensive focus on customer service? What are the advantages and disadvantages? 2. What are the advantages and disadvantages for Maxwell Research to engage in...

Q:

s on During 2022 a company makes cash sales of $800 000. It pays $200 000 in expenses and owes $90 000 to suppliers credit. It pays $170 000 in dividends. What is the profit for the 2022 year?

Q:

nvestors weigh their bond purchasing choices in evaluating a bond s value by: Group of answer choices Evaluating a company s credit rating All of these are correct Comparing interest yields on risk -...

Q:

You are offered a loan at a rate of 9% compounded monthly. Below what nominal rate of interest would you choose semiannual compounding instead?

Q:

Suppose that 100 Caucasian and 150 African American subjects are actually enrolled in the study. How much power would the study have to detect a 5-mg/dL mean difference using a two-sided test with...

Q:

What test can be used to compare the mean HgbA1c 1 year before vs. mean HgbA1c 1 year after use of the insulin pump? Diabetes The insulin pump is a device that delivers insulin to a diabetic patient...

Q:

Perform the test in Problem 8.150, and report a twotailed p-value? Diabetes The insulin pump is a device that delivers insulin to a diabetic patient at regular intervals. It presumably regulates...

Q:

could you please help on all problems A. What is the value of a 17.6%,$1,000 face value bond that matures in 477 years if investors require a 17.6% return on their investment? B. What will be the...

Q:

Consider the following potential events that might have occurred to Global on December 30, 2013. For each one, indicate which line items in Global's balance sheet would be affected and by how much....

Q:

You have $5,800 to deposit. Regency Bank offers 12 percent per year compounded monthly (1 percent per month), while King Bank offers 12 percent but will only compound annually. How much will your...