Proof this theorem k 3|n if and only if 3| a i=0 k 3|n if and
Fantastic news! We've Found the answer you've been seeking!
Question:
Proof this theorem
Transcribed Image Text:
k 3|n if and only if 3| Σ a¡ i=0 k 3|n if and only if 3| Σ a¡ i=0
Expert Answer:
Answer rating: 100% (QA)
Suppose 50 where 90 10 910 9 10 n akax1 T we can Since 10 331 100 333 1 1000 3333 1 a... View the full answer
Related Book For
Posted Date:
Students also viewed these accounting questions
-
Proof this Theoram: Weierstrass Approximation Theorem Theorem Any continuous function f(x) can be approximated to arbitrary accuracy on an interval with a polynomial Pn (x) of sufficiently higher...
-
This problem outlines a proof of Theorem 5.13. (a) Show that (b) Use Part (a) to show that (c) Show that Var[X^] = a2 Var [x] and Var [Y^] = c2 Var[Y]. (d) Combine parts (b) and (c) to relate PX^,Y^...
-
Complete the proof of Theorem 15.3. Theorem 15.3: (a) x 0 = 0 (a)ʹ x + 1 = 1 Dominance Laws (b) x(x + y) = x bf x xy = x Absorption Laws (c) [xy = xz and y = z] y = z Cancellation Laws...
-
According to a study conducted by the Gallup organization, the proportion of Americans who are afraid to y is 0.10. A random sample of 1100 Americans results in 121 indicating that they are afraid to...
-
Customers arrive for a service at a rate of 100 an hour and each server can deal with 15 customers an hour. If customer time is valued at $20 an hour and server time costs $50 an hour, how can you...
-
Mary would like to save $10,000 at the end of 5 years for a future down payment on a car. How much should she deposit at the end of each month in a savings account that pays 1.2%/a, compounded...
-
For each of the following situations, calculate the \(t\)-statistic \((t)\) : a. \(\mathrm{X}^{-}=.45 ; \mu=.52 ; s=.17 ; N=56\) b. \(\mathrm{X}^{-}=7.75 ; \mu=6 ; s=3.98 ; N=40\) c....
-
Focus Drilling Supplies has been growing steadily over the last 20 years. With increased exploration in the mining sector, the company has decided to expand their facilities for supplies and custom...
-
Sales Variable expenses $ 98,000 100% 39, 200 40% Contribution margin 58,800 60% 45,080 Fixed expenses Net operating income $ 13,720 Required: 1. What is the company's degree of operating leverage?...
-
Recently Santa Fe, New Mexico, was named one of the safest places to live in the United States. Since then, housing development projects have been springing up all around Santa Fe. Six housing...
-
can u please help me in writing annotated bibliography (250 word for each source )of following sources for research topic "impact of digital technology on education" What is the summary of the...
-
Complete the following in preparation for a discussion at the beginning of next class. You are a financial accountant for Best Bakes Bakery asked to interpret an analysis of sales by product. The...
-
48. A small marble rolls around a horizontal circular path on the inner surface of a conical bowl. The surface of the bowl makes an angle @ with the vertical. a. Draw a free-body marble path of the...
-
The term structures of discount factors prevailing Canada and the United Kingdom on September 11, 2023, are presented in the following table. On this date, the spot exchange rate is equal to GBP 1...
-
Matthew Cox, a third-generation producer of eggs based in the small town of Pickton, Texas, converted production in 2019 from conventional caged white eggs to specialty eggs. His company is called...
-
a) Draw the given DFA. b) Write 5 different strings that recognize this machine. c) Is the string '0101' recognized by this machine, why?
-
Describe your current ( or recent ) organization in terms of vertical or horizontal structure. If you are a manager, state your current span-of-control. If you are not in management, state or...
-
Bobbie Singh provides writing services for small businesses. He blogs for companies that need professionally written content. His business records at November 15, 2023, are shown below: During the...
-
Find the cyclotomic polynomial n (x) over Q for n = 1, 2, 3, 4, 5, and 6.
-
Find the number of different partitions of a set having the given number of elements. 2 element
-
Show that every left coset of the subgroup Z of the additive group of real numbers contains exactly one element x such that O x < 1.
-
Financial items for George Karatsis IT Services on 31 May 2024 are presented below in alphabetical order. Required (a) Prepare a statement of financial position similar to the one in figure 2.2. (b)...
-
During the year ended 30 June 2024, Skilled Services, a provider of temporary secretary personnel, had collected receipts from clients for a total value of \($250000.\) Wages of \($136000\) had been...
-
Rebecca Tallance operates a rent a dress business from her home. She keeps her accounting records for business activities completely separate from her records for personal activities. At 30 June...
Study smarter with the SolutionInn App