Question: Show that for every n E N, we have 1 + 2 + + n = n(n+1) .... then deduce that I 2 1

Show that for every n E N, we have 1 + 2 

Show that for every n E N, we have 1 + 2 + + n = n(n+1) .... then deduce that I 2 1 +2+ + n = (1+2+...+ n)

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!

Q:

Demand for new malls has dropped since 2010, however, there is still some demand as the population of the country continues to urbanise and more high-density residential development takes place. This...

Q:

4. (8 marks) The inverse market demand and market supply for whiskey are as follows (P is in dollars per liter and Q is in millions of liters): PD-30 QDps 2 Q a. Find the equilibrium price and...

Q:

Miller-Rabin test to check whether a number N is composite. This will involve computing a N1 mod N for some value of a. [10 marks] Carry out the steps for N = 65 and a = 1, 2, 8 and 12. on what each...

Q:

4. (6) Show that for every n E N> 1 there exists a unique k E N and unique do, . .., ak-1 E {0, 1, 2, 3, 4, 5, 6, 7, 8, 9} k and ak E {1, . ..,9} such that n = > a;10'. Hint: I encourage you to write...

Q:

B C D E F H | J K L A G You have recently been hired as a new managerial accountant for Organic Life Manufacturing Inc.. The company manufactures and distributes to retailers across North America a...

Q:

[43] Sequences with maximal Kolmogorov complexity of the initial segments are random in Martin-Lofs sense of passing all effective statistical tests for randomness. Hence, they must satisfy laws like...

Q:

help please Problem 1. (total: 15 points) Again! Spin 1/2 system. Consider a system of N localized weakly interacting particles, each of spin 1/2 and magnetic moment , located in an external magnetic...

Q:

2 30. Show that for every n E N, 6 divides an - n Note that 6 = 2 . 3 and 6 | m if and only if 3 | m and 2 Im

Q:

Hello dear tutors. I urge you, if possible, to write the steps clearly. Thank you very much! Using weak induction, prove that n E N 1 1 + +.. 1 . 2 2 . 3 . + 3 4 = 1 - n(n + 1 ) n +1 Use weak...

Q:

est.ca/mod/quiz/attempt.php?attempt=2822909&cmid=1898174&page=20 Question 19 Time left 1:06:27 Not yet answered Marked out of 1.00 A baseball coach is determining the batting order for the nine...

Q:

Lizzo Corporation sells apparel and all sales are on account. The company has the following expected sales for the year June: $10,000 July: $12,000 August: $8,000 Lizzo expects to collect 60% in the...

Q:

a. Do you expect other firms to enter the singing lesson business and compete with Lorie? b. What happens to the demand for Lories lessons in the long run? What happens to Lories economic profit in...

Q:

The duration of a 20-year zero-coupon bond is Option A smaller than 20. Option B larger than 20. Option C equal to that of a 20-year 10% coupon bond. Option D equal to 20

Q:

Maynard's Mayonnaise uses a process costing system to determine its product's cost. The last of the three processes is packaging. The Packaging Department reported the following information for the...

Q:

At the beginning of the year, Glaser Company estimated the following: Glaser uses departmental overhead rates. In the assembly department, overhead is applied on the basis of direct labor hours. In...

Q:

Douglas Dry Cleaners has determined the following about its costs: Total variable expenses are $30,000, total fixed expenses are $28,000, and the sales revenue needed to break even is $35,000....

Q:

At the beginning of the year, Han Company estimated the following: Overhead.........................$582,400 Direct labor hours..................80,000 Han uses normal costing and applies overhead on...

Q:

Colton Dry Cleaners has determined the following about its costs: Total variable expenses are $42,000, total fixed expenses are $30,000, and the sales revenue needed to break even is $50,000....

Q:

Can we put that she will be making weekly payroll deductions inthe amount of $52.75 to the housing equalling $211.00 monthly

Q:

The Rinky Dink Company makes machines that resurface ice rinks. The demand for such products varies from month to month, and so the company needs to develop a strategy to plan its manufacturing given...

Q:

Suggest modifications to the interval-tree procedures to support the new operation INTERVAL-SEARCH-EXACTLY (T, i), where T is an interval tree and i is an interval. The operation should return a...

Q:

How would you extend the Rabin-Karp method to the problem of searching a text string for an occurrence of any one of a given set of k patterns? Start by assuming that all k patterns have the same...

Q:

Consider the following population: The following sample was drawn from this population: a. Determine the sampling error for the sample mean. b. Determine the largest possible sampling error for this...

Q:

Suppose the life of a particular brand of calculator battery is approximately normally distributed with a mean of 75 hours and a standard deviation of 10 hours. a. What is the probability that a...

Q:

Sands, Inc., makes particleboard for the building industry. Particleboard is built by mixing wood chips and resins together and pressing the sheets under extreme heat and pressure to form a 4-feet ...