Question: 2 people sit down to share a pie. In each division, the first person takes a third of the remaining pie and then the second

2 people sit down to share a pie. In each division, the first person takes a third of the remaining pie and then the second person takes a third of what's left after that and this process repeats forever. In the kth division use sequences to find the fraction of the total pie does each person eat? Ans:(1/3)(2/3)^2k and (1/3)(2/3)^2k+1

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock 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 Mathematics Questions!

Pick a company that you are familiar with and describe its operations strategy and how it relates to winning customers. Describe specific activities used by the company that support the strategy.

2 people sit down to share a pie. In each division, the first person takes a third of the remaining pie and then the second person takes a third of what's left after that and this process repeats...

Imagine that two people sit down to share a pie. In the first division of the pie, a third of the pie is given to the first person and a third of what remains is given to the second. This process...

4 people sit down to share a single pizza. The first person takes 1/2 of the pizza, the second takes 1/2 of what remains, the third person takes 1/2 of what remains after the second person, and so...

Read: Case Study 7, Solving Team Challenges At DocSystems Billing Inc , p g 284 Consider : What problems exist in this organization? How are team roles impacting this organization? What is the...

It's divided in 2 parts: Part 1: Summarize all of it in 1 page (Use word or docs for reference) Part 2: Answer Short question after summarizing all. This would help a lot, thank you! Part 1:...

Problem 3 (20 points) You own a bar that has not been able to open in the last year due to the health contingency. Without However, as a result of the advance in vaccination and control of the...

Case Study for it. NA0367 Qadri-Group: Sustaining Beyond the First 100 Years Muhammad Shakeel Sadiq Jajja, Lahore University of Management Sciences Syed Zaboor Hassan, Lahore University of Management...

For the exclusive use of F. Ortolano, 2015. GRADUATE SCHOOL OF BUSINESS STANFORD UNIVERSITY HR-6 REV. JANUARY 1998 SAS INSTITUTE: A DIFFERENT APPROACH TO INCENTIVES AND PEOPLE MANAGEMENT PRACTICES IN...

1. Calculate job evaluation point (JEP) based on the point method and following information: Manager possess high responsibility, high skills, 6 years' experience and get$900 monthly salary....

Modify each of these tables so that every table is in BCNF and 4NF Use the assumptions you made in your answer to Question 441 Do not indicate primary or foreign keys

A corporation fires its CEO after an employee turns the CEO in to the police for insider trading. Although the corporation isn't liable in this instance, the board is concerned about reducing...

A window air conditioner cools a room at TL = 22C, with a maximum of 1.2 kW power input possible. The room gains 0.6 kW per degree temperature difference to the ambient, and the refrigeration COP is ...

Consider a company which has equity = 1.5 and debt = 0.4. Suppose that the risk-free rate of interest is 6%, the expected return on the market E(r M ) = 15%, and that the corporate tax rate is 40%....

The wave resistance of a model of a ship at 1/25 scale is 2 lbf at a model speed of 5 ft /s. What are the corresponding velocity and wave resistance of the prototype?

The following were selected from among the transactions completed during the current year by Danix Co., an appliance wholesale company: Jan. 21. Sold merchandise on account to Black Tie Co., $28,000....

Can moist air below the freezing point, say 5C, have a dew point?

Question 7 . Given the following simple maze, convert the maze into a graph. ( 5 points ) Question 8 . Implement depth first search in the maze function in homework 1 . py . ( 2 0 points ) Question 9...

2. Information that comes most readily to mind (availability).

3. An initial value (anchoring).

4. Similarity (representativeness).