Prove that 11 n 4n is divisible by 7 for all natural numbers n.
Question:
Prove that 11n – 4n is divisible by 7 for all natural numbers n.
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 0% (1 review)
11 4 7 if n 1 Assume 11 4 7k for some ...View the full answer
Answered By
PALASH JHANWAR
I am a Chartered Accountant with AIR 45 in CA - IPCC. I am a Merit Holder ( B.Com ). The following is my educational details.
PLEASE ACCESS MY RESUME FROM THE FOLLOWING LINK: https://drive.google.com/file/d/1hYR1uch-ff6MRC_cDB07K6VqY9kQ3SFL/view?usp=sharing
3.80+
3+ Reviews
10+ Question Solved
Related Book For
Question Posted:
Students also viewed these Sciences questions
-
In this question we study the recursively defined functions f, g and h given by the following defining equations f(0) = 1 base case 0, f(1) = 0 base case 1, and f(n) = n f(n 1) + f(n 2)^2...
-
On December 1, 2016, Insto Photo Company purchased merchandise, invoice price $25,000, and issued a 12%, 120-day note to Ringo Chemicals Company. Insto uses the calendar year as its fiscal year and...
-
Write a critical essay focusing on the issue of "Gender Violence" Assignment guideline: Locate a case of "Gender Violence" from Bangladesh regarding Sex and gender, recurrent gender patterns, economy...
-
Outline the traditional problems associated with the flat- file model that are resolved by the database model.
-
In this problem, we revisit Example 8.1 based on the receiver configuration of Figure. Suppose that a lossy waveguide is inserted between the receiving antenna and the low-noise amplifier. The...
-
Use the following diagram to answer a, b, and c. a. Illustrate the relationship between a perfectly competitive firms demand curve and the market supply and demand curve. b. Illustrate the effects of...
-
Heavy backpacks Refer to your graph from Exercise 5. (a) Describe the relationship between body weight and backpack weight for this group of hikers. (b) One of the hikers is a possible outlier....
-
Use the present value tables 1 and 2 to calculate the issue price of a $600,000 bond issue in each of the following independent cases. Assume interest is paid semiannually. a. A 10-year, 8 percent...
-
The Board Looks to You The financial department of Delphi Consolidated Industries ( DCI ) is just starting a 2 - week retreat in the Canadian wilderness. The president of DCI has been approached by...
-
Consider the following short procedure: List the first four printed values of S, and prove by induction that S = n 2 the nth time the procedure reaches step 2.
-
Use induction to establish the following results:
-
Here are comparative statement data for Martin Company and Lewis Company, two competitors. All balance sheet data are as of December 31, 2012, and December 31, 2011. Instructions(a) Prepare a...
-
As a new principal, I assigned a teacher to a different grade for the coming year. I did not expect to cause the anxiety it did. The teacher first came to me in tears and begged for her assignment to...
-
Peruse the following websites to learn about the different ways of categorizing leadership. 1. https://www.businessnewsdaily.com/9789-leadership-types.html 2....
-
Making Consumer Choices The Espresso Machine (25 points) In real life, you must often make choices about whether to buy something pre-made or make it yourself. There are many things to consider:...
-
1) Read over the article/case and summarize what it is referring to in your own words. 2) What type of leadership traits can you describe in the case study? Use materials both from the handout and...
-
After reading or watching, https://smallbusiness.chron.com/internal-analysis-important-80513.html https://www.indeed.com/career-advice/career-development/internal-analysis...
-
The weights (in pounds) of the 27 packages of ground beef from Exercise 2.24 (see data set EX0224) are listed here in order from smallest to largest: a. Confirm the values of the mean and standard...
-
Describe basic managerial approaches to implementing controls and how these are implemented.
-
How is it possible to determine the L and S values of a term knowing only the M L and M S values of the states?
-
Can the individual states in Table 22.1 be distinguished experimentally? States and Terms for the np? Configuration TABLE 22.1 M, =m,1 + m,2 Term ML=mn + M2 m;1 m,2 'D -2 1/2 -1/2 -1 3p -1/2 -1/2 1/2...
-
Write an equation giving the relationship between the Rydberg constant for H and for Li 2+ .
-
On consolidated financial statements, where does the parents equity in the net income of the subsidiary account appear? A. On the consolidated income statement, as a revenue B. On the consolidated...
-
Which of the following is not one of the elements of the balanced scorecard? a.cost system b.strategic initiatives c.performance targets d.strategy maps
-
Yield to Maturity and Call with Semiannual Payments Shares Remaining After Recapitalization Dye Trucking raised $75 million in new debt and used this to buy back stock. After the recap, Dye's stock...
Study smarter with the SolutionInn App