Prove, by mathematical induction, that 3 (3n+2) + 4 is divisible by 13 for n 0.
Question:
Prove, by mathematical induction, that 3(3n+2) + 4 is divisible by 13 for n ≥ 0.
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 50% (6 reviews)
Base Case The base case would be when n 0 in which the statement is true because 3 4 7 wh...View the full answer
Answered By
Enock Oduor
I am a chemist by profession, i coach high school students with their homework, i also do more research during my free time, i attend educational and science fair seminars where i meet students and do some projects.
0.00
0 Reviews
10+ Question Solved
Related Book For
Cambridge International AS & A Level Further Mathematics Coursebook
ISBN: 9781108403375
1st Edition
Authors: Lee Mckelvey, Martin Crozier
Question Posted:
Students also viewed these Sciences questions
-
Prove by mathematical induction that, for all values n 1, 7 n + 2 3n - 1 is divisible by 7.
-
Prove by mathematical induction that Hence, determine an expression for 1). %3D 3 r=1
-
Prove by mathematical induction that, for all non-negative integers n, 11 2n + 25 n + 22 is divisible by 24.
-
There are several methods for this type of analysis. Vertical, horizontal,liquidity, profitability (which includes ratios), scenario and sensitivity, variance and valuation. As we review, do you feel...
-
The book The Wall Street Journal. Guide to Information Graphics by Dona M. Wong gives strategies for using graphs and charts to display information effectively. One popular graph discussed is the...
-
EasyWriter manufactures an erasable ballpoint pen, which sells for $1.75 per unit. Management recently finished analyzing the results of the companys operations for the current month. At a break-even...
-
A deuteron is a charged particle that has the same charge as a proton but approximately twice the mass. An alpha particle has twice the charge and approximately four times the mass of a proton. For...
-
On April 1, 2012, Dougherty Inc. entered into a cost plus- fixed-fee contract to construct an electric generator for Altom Corporation. At the contract date, Dougherty estimated that it would take 2...
-
1. Identify products A and B 2. 3. CH3 dil. KMnO4 CrO3 A- B 273 K CH3 CH3 (A) A: OH B: OH OH CH3 CH3 (B) A: OH OH B: (C) A: OHCCH,CH,CH, CCH, B: HOOCCH,CH,CH, CH3 CH3 (D) A: B: OH -CH3 The electrode...
-
Jack Potts recently won $1,000,000 in Las Vegas and is trying to determine how to invest his winnings. He has narrowed his decision down to five investments, which are summarized in the following...
-
A function is given as y = cos2x + 2sin 2x. a. Find the second derivative. b. Using mathematical induction, show that = (-1)"22"[cos 2.x + 2 sin 2x] for values n>1. dx" 2n
-
The sequence a 1 , a 2 , a 3 , ... is such that a 1 > 5 and a n+1 = 4a n /5 + 5/a n for every positive integer n. Prove by mathematical induction that a n > 5 for every positive integer n. Prove also...
-
Most of the energy we consume as food is converted to thermal energy in the process of performing all our bodily functions and is ultimately lost as heat from our bodies. Consider a person who...
-
Gender differences are challenging and evoke many feelings based on one's values, beliefs, culture, and societal acceptance. Create 2 Literature Reviews on Gender Differences .Use scholarly articles...
-
Reporting of items (e.g., discontinued operations) within an accounting period on the income statement or statement of retained earnings net of tax. Such allocation relates the income tax expense of...
-
Compare and discuss at least 3 similarities between the Codes of Ethics for CHIMA, AHIMA, and CMA. In your response explain why you think these standards are important across health care. Discuss at...
-
1. Maximum allowed shift hours for part-time and full-time workers. 2. Mandatory breaks between shifts. 3. Leave including shift workers.
-
Suppose The Pancake House's preferred stock pays an annual dividend of $4.29 per share. How much are you willing to pay for one share if you require a 9% rate of return? (Round your answer to two...
-
A slide projector, using slides of width 5.08 cm, produces an image that is 2.00 m wide on a screen 3.50 m away. What is the focal length of the projector lens?
-
D Which of the following is considered part of the Controlling activity of managerial accounting? O Choosing to purchase raw materials from one supplier versus another O Choosing the allocation base...
-
We saw a general rule that the two protons of a CH 2 group will be chemically equivalent if there are no chirality centers in the compound. An example of an exception is 3-bromopentane. This compound...
-
Identify the structure of a compound with molecular formula C 9 H 20 that exhibits four CH 2 groups, all of which are chemically equivalent. How many total signals would you expect in the 1 H NMR...
-
Predict the chemical shifts for the signals in the 1 H NMR spectrum of each of the following compounds: (a) (b) (c) (d) (e)
-
A corporation plans to issue preferred stock. Per year dividend amount is $10 and the preferred stock is currently selling for $105. in the market. The firm needs to pay 5% flotation costs. What is...
-
Marcus has a time-share property near a seashore in coastal region of France, which is insured for 250,000 under a commercial property insurance policy. The policy contains an 77 percent coinsurance...
-
Suppose that the nominal interest rate is 1 0 % , and the inflation rate is 2 % . What is the value of the real interest rate?
Study smarter with the SolutionInn App