A function is given as f(n) = 3 4n+3 + 7 2n+1 + 6. Show by using
Question:
A function is given as f(n) = 34n+3 + 72n+1 + 6. Show by using proof by induction that f(n) is always divisible by 8 for n ≥ 0.
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 60% (10 reviews)
We know f08 f1 8 and f2 16 So by induction we have that fn is divisible by 8 if ...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
-
A function is given as f(n) = (2n + 1) 3 + (3n - 2) 2 + n + 3. Using mathematical induction, prove that f(n) is always even for n 0.
-
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
-
A function is given by a table of values, a graph, a formula, or a verbal description. Determine whether it is one-to-one. (a) (b) (c) (d) f (x) = x2 - 2x f(x) .5 2.0 365.32.8 2.0
-
solve system of equation: 22-4=4 81+y = -9 @solve the system of equation: x-Y = -5 xy = -3 find larger and smuller value and intersection point. 3) Solve following system of equation 2 x+y=0- 2 x -...
-
Use the data in Table 2-16 to make a stem-and-leaf display for milligrams of tar per cigarette smoked. Are there any outliers?
-
Four years ago, Ideal Solutions issued convertible preferred stock with a par value of $50 and a stated dividend of 8 percent. Each share of preferred stock can be converted to four shares of common...
-
Following are a number of cost terms. Choose the term or terms above that most appropriately describe the cost identified in each of the following situations. A cost term can be used more than once....
-
Compute the probability of X successes, using Table B in Appendix C. a. n = 2, p = 0.30, X = 1 b. n = 4, p = 0.60, X = 3 c. n = 5, p = 0.10, X = 0 d. n = 10, p = 0.40, X = 4 e. n = 12, p = 0.90, X =...
-
2. **Explain in your own words what a "mole" is.
-
A company is due to receive 2,500,000 two-months from today and wishes to save the funds for three months. Money market interest rate spreads for short-term euro transactions are presented in the...
-
A matrix is given as a. Determine the values of A 2 , A 3 and A 4 . b. Prove, by mathematical induction, that c. State A n when n . 3 A = -1 1
-
The polar curve C is given as r = 2 sin 2, for 0 /2. a. Sketch the curve C. b. Find the greatest distance of the curve from the y-axis. c. Evaluate the area inside the polar curve C, for the...
-
Carson Computer Solutions makes all sales on account, so virtually all cash receipts arrive in the mail. Jeannette Carson, the company president, has just returned from a trade association meeting...
-
What are the top two factors that have the biggest impact on your credit score? A credit card is one of the easiest ways to establish credit in America. What if you are not able to qualify for a...
-
What is the average billing daily balance and finance charge (APR 15%) for the revolving credit account (assume a 30 day billing cycle)? Please fill out the table attached. Billing Date Previous...
-
a) Is the code below tightly coupled if yes provide a reason and implement a loosely coupled working version of it? (7 marks) public class classVolume { public static void main(String args[]) { Box b...
-
The following figure shows an image of size 55 2340 34567 2345 1234L 6 4 5 6 7 8 618 7 0 Compute five of the following: a- The output of the 33 mean filter at (0,0) with zero padding. b- The output...
-
How are your numeracy skills? It's a self honest assessment ( am not really good in math especially algebra and complex problem solving but can do simple ones) state in one paragraph only ?
-
Briefly explain whether you agree with Manager 2's reasoning: Manager 1: "The only way we can increase the revenue we receive from selling our frozen pizzas is by cutting the price." Manager 2:...
-
After looking at the resources, explain what a spirit image is. Why might looking at a god and/or a human in terms of their spirit be helpful if you want to eliminate some of the divisions between...
-
Identify the reagents that you would use to accomplish each of the following transformations: a. b. c. d. e. f. -Br OH
-
When the following ester is treated with lithium iodide in DMF, a carboxylate ion is obtained: (a) Draw the mechanism of this reaction. (b) When the methyl ester is used as the substrate, the...
-
Suggest an efficient synthesis for the following transformation: En Br
-
ces Prepare a horizontal analysis of both the balance sheet and income statement. Complete this question by entering your answers in the tabs below. Analysis Bal Analysis Inc Sheet Stmt Prepare a...
-
XYZ Corporation presents in its accounting books the following items related to its income: Sale income $2,000,000 Cost of Goods Sold (1,300,000) Savings account interest income 1,000 New York City...
-
Crane Company Division B recorded sales of $71,700, variable cost of goods sold of $49,600, variable selling expenses of $19,300, and fixed costs of $12,400, creating a loss from operations of...
Study smarter with the SolutionInn App