Answered step by step

Verified Expert Solution

Link Copied!

Question

1 Approved Answer

Posted on May 30, 2018

Prove that 6 divides ???? 3 ????? whenever n is a nonnegative integer.

Prove that 6 divides ???? ³????? whenever n is a nonnegative integer.

Step by Step Solution

There are 3 Steps involved in it

Step: 1

Basic step For n 0 n 3 n 0 3 0 0 0 is divisible by 6 ... blur-text-image

Get Instant Access to Expert-Tailored Solutions

See step-by-step solutions with expert insights and AI powered tools for academic success

Step: 2

Step: 3

Ace Your Homework with AI

Get the answers you need in no time with our AI-driven, step-by-step assistance

Get Started

Recommended Textbook for

Discrete Mathematics and Its Applications

Authors: Kenneth H. Rosen

7th edition

0073383090, 978-0073383095

More Books

Students explore these related Mathematics questions

Question

1. Showthat there is a nonnegative integer n such that the set of n-equivalence classes of states of M is the same as the set of (n + 1)-equivalence classes of states of M. Then show for this integer...

Answered: 3 weeks ago

Question

Prove that 30 divides n9 n for every nonnegative integer n.

Answered: 3 weeks ago

Question

Prove divisibility facts. Prove that 2 divides n2 + n whenever n is a positive integer.

Answered: 3 weeks ago

Question

The following information has been extracted from the trial balance of M/s Randhir Transport Corporation. Adjustments 1. Closing stock for the year was Rs. 35,500. 2. Depreciation charged on plant...

Answered: 3 weeks ago

Question

The file P18_02.xlsx contains yearly data on nine of the Big Ten universities. There are two pieces of data for each university for each year: the count of full professors, and the total amount paid...

Answered: 3 weeks ago

Question

=+3 How can we introduce flexibility into salary structures without losing control of costs?

Answered: 3 weeks ago

Question

How would you help students develop an authentic sense of efficacy for guiding their own learning?

Answered: 3 weeks ago

Question

The following transactions apply to Ocktoc Co. for 2014, its first year of operations: 1. Received $50,000 cash from the issue of a short-term note with a 5 percent interest rate and a one-year...

Answered: 3 weeks ago

Question

Please help! need help solving this problem Valley Companys adjusted trial balance on August 31, 2017, its fiscal year-end, follows. Debit Credit Merchandise inventory $ 35,000 Other (noninventory)...

Answered: 3 weeks ago

Question

Able and Body are unrelated individuals. In September of the present year, they decide to form I Can Too Corporation. Able contributes a building and land with a basis of $35,000 and and a fair...

Answered: 3 weeks ago

Question

The shape of Sugarloaf Mountain, in Rio de Janeiro, Brazil, is such that, if you were to kick a soccer ball hard enough, it could land near the base of the mountain without hitting the mountain's...

Answered: 3 weeks ago

Question

Use the stock table below to answer parts a through g. Assume that the data for Company XYZ stock came from an online quote you looked at during lunch. Last Change %Change 14.39 +0.27 1.91 Open High...

Answered: 3 weeks ago

Question

An owner decided to franchise it to become a chain of seven furniture shops in Australia with a total of 85 employees and $49,600 revenue each day. Some franchises have been around for 3 years while...

Answered: 3 weeks ago

Question

The length of the winning word in the National Spelling Bee is approximately normally distributed with a mean of 9 and standard deviation of 2. (a) Where on the standard normal curve would a word...

Answered: 3 weeks ago

Question

Which musical has a participatory Be - In as its finale? Select one: Spring Awakening American Idiot Hair Hedwig and the Angry Inch

Answered: 3 weeks ago

Question

employees at the plants are also shown. These data are as follows: MEdiCEll $7,400 $14,400 $12,300 $6,200 $3,100 Employees 123 402 256 109 67 a. Compute the weighted mean medical payments for these...

Answered: 3 weeks ago

Question

Useful mathematical summations: 1+2+3+.+(n1)+n=2n(n+1)a0+a1+a2+a3+.+a(n1)+an=a1an+1120+21+22+23+.+2(n1)+2n=212n+11 NB: DO NOT JUST WRITE THE ANSWER. You must explain in some way by (a) a diagram, (b)...

Answered: 3 weeks ago

Question

An investor sells a European call on a share for $4. The stock price is $47 and the strike price is $50. Under what circumstances does the investor make a profit? Under what circumstances will the...

Answered: 3 weeks ago

Question

Bonnie and Clyde decided to buy a rental property on 1 July 2021. So they purchased the property for $750,000 which included a brand new unit costing $200,000 in building costs Dep @2.5%. The unit...

Answered: 3 weeks ago

Question

How many ways are there to deal hands of five cards to each of six players from a deck containing 48 different cards?

Answered: 3 weeks ago

Question

What do the in-degree and the out-degree of a vertex in a telephone call graph, as described in Example 4 of Section 10.1, represent? What does the degree of a vertex in the undirected version of...

Answered: 3 weeks ago

Question

Translate each of these quantifications into English and determine its truth value. a) xR (x2 1) b) xZ (x2 = 2) c) xZ (x2 > 0) d) xR (x2 = x)

Answered: 3 weeks ago

Question

The cells in the visual cortex that respond to certain lines, edges, and angles are called _______ _______.

Answered: 3 weeks ago

Question

Depth perception underlies our ability to group similar items in a gestalt. perceive objects as having a constant shape or form. judge distances. fill in the gaps in a figure.

Answered: 3 weeks ago

Question

In listening to a concert, you attend to the star performer and perceive the other musicians as accompaniment. This illustrates the organizing principle of figure-ground. shape constancy. grouping....

Answered: 3 weeks ago

Previous Question Next Question