Question: Use the figure to write a short paragraph explaining why the formula 1 + 2 + + n = 1/2n(n + 1) is valid

Use the figure to write a short paragraph explaining why the formula 1 + 2 + ·· + n = 1/2n(n + 1) is valid for all positive integers n.

**** * *****

**** * *****

Step by Step Solution

★★★★★

3.23 Rating (164 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

Suppose there are n rows and n 1 colu... View full answer

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 Calculus 10th Edition Questions!

Q:

Write a short paragraph explaining why undue influence would be presumed in certain cases, such as the attorney and client relationship, but not in others.

Q:

Write a short paragraph explaining why a continuous function on an open interval may not have a maximum or minimum. Illustrate your explanation with a sketch of the graph of such a function.

Q:

Write a short paragraph explaining why the universal set and the empty set are necessary in the study of sets.

Q:

Sections 10.1 and 10.2 Reading Assignment: Sequences and Series Answer Only Exercise 1, 2, and 3 by using a screenshot provided Calculus Pearson textbook. Make sure you read these three questions...

Q:

19 Name: ____________________________________ 1. Your friend has a credit card with an APR of 49.9% ! What would his finance charge be on a $500 charge for just 1 month? 2. Your friend has 2 credit...

Q:

Part 1: Financial Analysis (12 points) Perform A financial analysis for a project using the format provided in chapter 4, figure 4-5. Assume that the projected costs and benefits for this project are...

Q:

Day Date Weekday Daily Demand Weekend weekday Average daily demand weekdays 1 4/25/2016 Mon 297 0 sun 453.25 mon 2 4/26/2016 Tue 293 0 mon 301.38 tue CheckWed the formula 3 4/27/2016 327 0 tue 315.13...

Q:

Eli Orchid has designed a new pharmaceutical product, Orchid Relief, which improves the night sleep. Before initiating mass production of the product, Eli Orchid has been market-testing Orchid Relief...

Q:

39 38 6/1/2016 Wed 333 40 39 6/2/2016 Thu 339 41 40 6/3/2016 Fri 416 42 41 6/4/2016 Sat 475 43 42 6/5/2016 Sun 459 44 43 6/6/2016 Mon 319 45 44 6/7/2016 Tue 326 46 45 6/8/2016 Wed 356 47 46 6/9/2016...

Q:

3 molecules are sulfide,sulfoxide and sulfone lab :molecular Polarity and Chromatography Post-lab Exercise This post-lab exercise and short analysis report should be completed and submitted...

Q:

Liberty Bank loans Michelle $5,000 to buy a car, which is used as collateral to secure the loan. After repaying less than 50 percent of the loan, Michelle defaults. Liberty could repossess and keep...

Q:

Consider the non-autonomous system --(1) where g() is continuously differentiable and satistics 0s g()skand g()s g(1)vt20. Taking V(x,.) = +(1+ g)) as a Lyapunov function candidate. Prove that the...

Q:

Undercapitalization refers to the problem ofMultiple Choiceundervalued capital stock.inadequate control of expenses.insufficient start - up funds.

Q:

A process is controlled by a P chart using samples of size 100. The center line on the chart is 0.05. What is the probability that the control chart detects a shift to 0.08 on the first sample...

Q:

Given that limx/2 tan2 x = , illustrate Definition 6 by finding values of that correspond to (a) M = 1000 (b) M = 10,000.

Q:

Suppose and are continuous functions such that and limx2 [3f(x) + f(x) g(x)] = 36. Find f(2).

Q:

Use the definition of continuity and the properties of limits to show that the function is continuous at the given number a. F(x) = (x + 2x3)4, a = - 1

Q:

Weismann Co. issued 7-year bonds a year ago at a coupon rate of 6 percent. The bonds make semiannual payments and have a par value of $1,000. If the YTM on these bonds is 11 percent, what is the...

Q:

Quad Enterprises is considering a new three-year expansion project that requires an initial fixed asset investment of $2.18 million. The fixed asset qualifies for 100 percent bonus depreciation in...

Q:

In preparing the financial statements, which of the following is the correct sequence of preparing them: Question 37 options: A) A balance sheet, a statement of retained earnings and then an Income...