Question: There is a famous conjecture that for every integern, there exists an integer k such that f* (n) = 1. In other words, if

There is a famous conjecture that for every integern, there exists an

There is a famous conjecture that for every integern, there exists an integer k such that f* (n) = 1. In other words, if you keep applying this function over and overto any number, you will eventually get one. Prove this conjecture.

Step by Step Solution

★★★★★

3.44 Rating (157 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

The stated conjuncture is Collatz conjecture which states that for every integer n there exist an in... View full answer

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!

Use the extended Euclidean algorithm to find the inverse of x5 + x* + x3 + x in GF(2) using the modulus (x8 +x + x + x + 1).

The primary aim of a free market is to make a profit. Competition rather than regulation keeps bad behavior in check, and companies work hard to differentiate themselves in order to make more profit....

Humans(Homo sapiens) have very close cousins in apes. In fact chimpanzees (Pan troglodytes),bonobos (Pan paniscus),orangutan(Pongo abelii) and gorilla(Gorilla gorilla) has Genetic similarity from 96%...

Ethan fraudulently induces Franz to sign a promissory note to buy a speedboat. Franzs friend, Gus, agrees to act as a guarantor of the note. If Franz fails to make payment to Ethan, with respect to...

Let r and s be solutions to the quadratic equation x 2 b x + c = 0. For n N, define d0 = 0 d1 = r s dn = b dn1 c dn2 (n 2) Prove that dn = r n s n for all n N. [4 marks] (b) Recall that a commutative...

Please help me use this book for citation for my essay Read the book Boss - 2014 "Moral Reasoning" Ethics for Life- A Text with Readings Ch2 CHAPTER 2 .first importance. Mo,af ReaEoning In a...

After reading the attached Article answer the below question with assignment (5 paragraphs) Which sections of the attached report could be the most useful for understanding the company's strategic...

Applied Mathematics and Computation 95 (1998) 181192 Love dynamics: The case of linear couples Sergio Rinaldi 1 Centro Teoria dei Sistemi, CNR, Politecnico di Milano, Via Ponzio 34/5, 20133 Milan,...

Read this reading properly and create one valuable question after understanding this reading and also answer that question in brief after summarising.Also provide references for this. Reading-...

Please read and First, choose Five terms or concepts from the chapter that you are going to "Identify" 1. Define the term (using your own words or the book's definition). 2. Provide and example or...

Could I get help on this worksheet? dg e. Use the Multiplication Rule and showing work, find the probability for each possible outcome in the sample space and construct a distribution of the results...

(LO3, 4, 6) Exercises 4-24 Indirect cost rates and the death spiral Famous Flange Company manufactures a variety of special flanges for numerous customers. Annual capacity-related (manufacturing...

Page No. Date (6) On 30 september 2014, Razor's closing inventory was counted and valved at its cast of Tas I million inventory which had cost demaged Some item T2s 210,000 Gad been in a flood Con is...

12 SC 301 student is comparing between two stocks to invest in: Stock A and Stock B. owing are the stock returns (in dollars) in the last 10 months (sample). Monthly Returns Stock A Stock B 585 960...

Economic Order Quantity Self- Quiz Problem P=$5 D=20,000 O=$10 I=10% H= $.75 The hospital has only $90,000 budgeted for the product. What is the new price the hospital must negotiate with the vendor...

*Remember to read at least 50% of your classmates posts. 1. Use inference* to identify the possible strengths of the family. 2. Use inference* to identify the possible challenges of the family. 3....

Name at least two different types of inventory valuation methods. Discuss the advantages and disadvantages of each method.

As economic conditions change, how do banks adjust their asset portfolio?

(a) Let T = {V, E) be a complete 6-ary tree of height 8. If T is balanced, but not full, determine the minimum and maximum values for |V|. (b) Answer part (a) if T = (V, E) is a complete m-ary tree...

Develop an algorithm to gracefully label the vertices of a caterpillar with at least two edges.

Let G = (V, E) be an undirected connected loop-free graph. Suppose further that G is planar and determines 53 regions If, for some planar embedding of G, each region has at least five edges in its...

The Washington Post Weekly Edition quoted an Urban Institute study that stated that about 80% of the estimated $200 billion of federal housing subsidies consisted of tax breaks (mainly deductions for...

The marketing manager for a major retail grocery chain is wondering about the location of the stores dairy products. She believes that the mean amount spent by customers on dairy products per visit...

Consider the following two independently chosen samples whose population variances are not equal to each other. a. Using a significance level of 0.025, test the null hypothesis that 1 2 0. b....