Show that Let 1+ 2+ + (n 1) + n = ... n(n+1) 2
Question:
Show that
Let
Transcribed Image Text:
1+ 2+ + (n − 1) + n = ... n(n+1) 2
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 60% (5 reviews)
To prove that the sum of the first n natural numbers given by 1 2 n 1 n is equal to nn 12 we will f...View the full answer
Answered By
Faith Chebet
A proficient mathematician with 6 years of online tutoring
0.00
0 Reviews
10+ Question Solved
Related Book For
Precalculus Concepts Through Functions A Unit Circle Approach To Trigonometry
ISBN: 9780137945139
5th Edition
Authors: Michael Sullivan
Question Posted:
Students also viewed these Mathematics questions
-
Show that if and only if there is a sequence 0 < e n 0 such that For the part e n 0, show that, for every e > 0, there exists N = N (e) such that k and n imply (| X k X | e) (| X k X | e k )...
-
Show the following using graphs: a. Show how the MP curve represents equilibrium in the money market. b. Suppose that the Fed increases the target for the federal funds rate. Show the effect on the...
-
Show that this matrix has infinitely many right inverses. Show also that it has no left inverse. 1. - 1 0)
-
Provide an overview of the OS and the manufacturer What is the footprint for the selected OS? What security architecture was implemented? How many CVEs does this OS have?
-
If the probability of a super- event decreases, what happens to the likelihood of needing multiple suppliers?
-
Is electric energy the same as electric power? Explain.
-
Ormet Primary Aluminum Corporation, operated an aluminum smelter plant in Hannibal, Ohio. The facility ceased production in October 2013 in order to liquidate its assets after filing for bankruptcy...
-
Danny Spurlock and Tracy Wilson decided to form a partnership on July 1, 20-1. Spurlock invested $100,000 and Wilson invested $25,000. For the fiscal year ended June 30, 20-2, a net income of $80,000...
-
3. a) Derive D = 4x using solid state diffusion theory b) Calculate the binary O2/N2 gas diffusivity at T = 300K and compare it to the pure 02 self- diffusivity. The molecular diameter of N2 is...
-
Problems 7584. The purpose of these problems is to keep the material fresh in your mind so that you are better prepared for later sections, a final exam, or subsequent courses such as calculus....
-
In Problems 6982, determine whether the given sequence is arithmetic, geometric, or neither. If the sequence is arithmetic, find the common difference; if it is geometric, find the common ratio. If...
-
Find the radius of convergence and interval of convergence of the series.
-
In each of Problems 5 through 8, determine a lower bound for the radius of convergence of series solutions about each given point xo for the given differential equation. 5. "+4y+6xy = 0; X0=0, x0 =4...
-
What intensified British interest in South Africa in second half of the nineteenth century?
-
Why is it so difficult to estimate the effect of Government spending on the economy and how have economists addressed the problems?
-
Let 1 2 -1 0 -1 3 0 1 0 A = -5 6 4 3 -3 8 -8 -6-5 2 3 -4 -3 -3 2 (a) (3 points) Verify that 0-0 and are eigenvectors of A. a (b) (2 points) Find a vector v = C for some a, b, c, d E R such that Avv....
-
Does anyone still hand write and mail a thank you note? What are the advantages of this? Any disadvantages?
-
The brief case for Chapter 4 listed the rate of return for 92 mutual funds over the previous 3-year and 5-year periods. Its common for advertisements to carry the disclaimer that past returns may not...
-
If a test has high reliability. O the test measures what the authors of the test claim it measures O people who take the same test twice get approximately the same scores both times O scores on the...
-
In Problems 1930, find the domain and range of each relation. Then determine whether the relation represents a function. Level of Education Less than 9th grade 9th-12th grade High School Graduate...
-
In Problems 1324, determine whether or not the graph is that of a function by using the vertical-line test. In either case, use the graph to find: (a) The domain and range (b) The intercepts, if any....
-
In Problems 1324, determine whether or not the graph is that of a function by using the vertical-line test. In either case, use the graph to find: (a) The domain and range (b) The intercepts, if any....
-
Use the functions f(x) = 2x + 7 and g(x) = 6x - 5 to complete the function operations listed below. Part A: Find (f + g)(x). Show your work. (3 points) Part B: Find (f. g)(x). Show your work. (3...
-
2. The concentration of salt x in a homemade soap maker is given as a function of time by dx dt . = 37.5 3.5x At the initial time, t = 0, the salt concentration in the tank is 50 g/L. i) Using...
-
5. Let A={1,2,3,4} and B={1,2,3}. Let f: A B, f={(1,3), (2,1), (3,2), (4,2)}. a) Is fa function? Consider the function definition to justify your answer. b) Is the compound relation ff 1 (first f and...
Study smarter with the SolutionInn App