The repeating decimal 0.99999 . . . can be written as the sum of the terms of
Question:
The repeating decimal 0.99999 . . . can be written as the sum of the terms of a geometric sequence with a1 = 0.9 and r = 0.1.
Because |0.1|
Use this formula to find a more common way of writing the decimal 0.99999 . . . .
Transcribed Image Text:
0.99999... = 0.9 +0.9(0.1) + 0.9(0.1)² +0.9(0.1)³ +0.9(0.1)4+0.9(0.1)5 +
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 33% (3 reviews)
The repeating decimal 099999 can indeed be expressed as the sum of the terms of a geometric sequ...View the full answer
Answered By
Surendar Kumaradevan
I have worked with both teachers and students to offer specialized help with everything from grammar and vocabulary to challenging problem-solving in a range of academic disciplines. For each student's specific needs, I can offer explanations, examples, and practice tasks that will help them better understand complex ideas and develop their skills.
I employ a range of techniques and resources in my engaged, interesting tutoring sessions to keep students motivated and on task. I have the tools necessary to offer students the support and direction they require in order to achieve, whether they need assistance with their homework, test preparation, or simply want to hone their skills in a particular subject area.
0.00
0 Reviews
10+ Question Solved
Related Book For
Intermediate Algebra
ISBN: 9780134895987
13th Edition
Authors: Margaret Lial, John Hornsby, Terry McGinnis
Question Posted:
Students also viewed these Mathematics questions
-
Use the method of exhaustion to show that every even integer between 30 and 58 (including 30 and 58) can be written as a sum of at most three perfect squares.
-
The number 0.999c can be written as the sum of the terms of an infinite geometric sequence: 0.9 + 0.09 + 0.009 + . Here we have a 1 = 0.9 and r = 0.1. Use the formula for S to find this sum. Does...
-
Merry Co. sells Christmas angels. Merry determines that at the end of December, they have the following aging schedule of Accounts Receivable: (a) Compute the total estimated uncollectible amounts....
-
Vehicles begin arriving at Allen fieldhouse at 6:30 PM, at a constant rate of 4 per minute. One gate opens at 7:00 PM and processes cars at a rate of 5 vehicles per minute. At 7:10 PM, a second gate...
-
The performance (in thousands of dollars) of Sandpiper Airlines for the most recent year is shown in the following table: The static budget had been based on a budget of $.35 revenue per passenger...
-
Suppose that a Bayesian spam filter is trained on a set of 1000 spam messages and 400 messages that are not spam. The word "opportunity" appears in 175 spam messages and 20 messages that are not...
-
Redesign the fractionator of Example 6.8 using a random packing. The column is to be packed with 50-mm metal Pall rings. Determine the diameter of the tower, the height of packing in the stripping...
-
Assume that in an annual audit of Harlowe Inc. at December 31, 2014, you find the following transactions near the closing date. 1. A special machine, fabricated to order for a customer, was finished...
-
Consider two oppositely charged atoms with charges of +1 and -1 units, respectively. The two atoms interact with each other through electrostatic (Coulombic) and van der Waals forces, and reach an...
-
A child builds with blocks, placing 35 blocks in the first row, 31 in the second row, 27 in the third row, and so on. Continuing this pattern, can he end with a row containing exactly 1 block? If...
-
Choose the letter of the correct setup to perform synthetic division on the indicated quotient. x + 3x - 6 x-2 A. -2)1 3 -6 B. -2)-1 -3 -3 6 C. 2)1 3 -6 D. 2)-1 -3 6
-
f(x) = x 3 3x + 5 (a) Using a graphing utility, graph and approximate the zero(s) of f. (b) Using a graphing utility, approximate the local maxima and local minima. (c) Determine the intervals on...
-
How does each of the 3 aspects of TIMWOOD below lead to inefficiency for KOI? How can each be improved to enhance efficiency for KOI? Defects Motion Overprocessing Companies often focus on...
-
Human Resources Planning serves as a preliminary step to all other functions of the HRM. Briefly, explain the key steps involved in HRP.
-
Describe any key sales activities that you will use to build and maintain your sales pipeline. Explain the essential elements of the sales process (i.e., staffing, commissions, and quotas). Company...
-
Create a well-written job description for Human resources assistants the organization can use when hiring employees. Describe the essential functions, qualifications, and other characteristics of the...
-
The planning phase of safety management system (SMS) development is well in progress, and it is now time to develop some goals for your SMS. Based upon your workplace (or your research on a...
-
Consider the null hypothesis in Applied Example 8.11, Ho: Teaching techniques have no significant effect on students exam scores. Describe the actions that would result in a type I and a type II...
-
The vapor pressure of the liquid NH, is measured at different temperatures. The following vapor pressure data are obtained. Temperature, K P, mmHg 217.1 223.4 234.7 588.1 Calculate the enthalpy of...
-
The percentage of various colors are different for the peanut variety of M&MS candies, as reported on the Mars, Incorporated website: A 14-ounce bag of peanut M&MS is randomly selected and contains...
-
1. Perform a test of homogeneity for each question and verify the reported p-value of the test. 2. Questions 3, 4, and 7 are concerned with the atmosphere of the library; questions 5 and 6 are...
-
In an investigation to determine the relationship between the degree of metal corrosion and the length of time the metal is exposed to the action of soil acids, the percentage of corrosion and...
-
Please describe the Opportunity Risk for FedEx company & explain the following question for FedEx company's opportunity risk: a) Description of the risk and how it affects the organization (FedEx)?...
-
The interest rate on a 21-year Treasury Bond is 8.25%. A comparable maturity, Aaa-rated corporate bond yielding is 11%. Another comparable maturity, but lower quality corporate bond has a yield at...
-
Please watch all 4 episodes and write a detailed report on the marketing perspective of the organization (fifa). Please also watch the episodes and describe the corruption in terms of the...
Study smarter with the SolutionInn App