Prove the formula for the sum of the n first positive integers: M 3 i
Question:
Prove the formula for the sum of the n first positive integers:
Transcribed Image Text:
M Σ 3 Σ i = 1 + 2 + 3 + ... + n + - i=1 = n(n + 1) 2
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 100% (3 reviews)
This formula can be proved by mathematical induction or by the following method used b...View the full answer
Answered By
AJIN kuriakose
I have completed B.Tech in Electrical Engineering & Masters in Power & Control From one of the best universities in India. I got the 99.05 percentile in the Gate Electrical Engineering Exam. I can Help students solving assignments in Electrical subjects like Power Electronics, Control system, Analog, Network Theory & Engineering Mathematics. Clear your fundamentals and develop problem-solving skills and analytical skills to crack the exam.
Get guidance and the opportunity to learn from experienced...
I can provide tuition for Electrical engineering subjects (Power Electronics, Digital electronics, Network Theory, Control System & Engineering Mathematics). The toughest subject of Electrical engineering can be made simple in online classes...
I can also solve it.
1 .I can help you with your assignments or exams or quiz or tutoring.
2. Very strict to the deadlines.
Message me for any help in assignments, live sessions. I am here to help students for all assignments, tests and exams and I will make sure you always get _95% In your subject.
Contact me in solution inn for any help in your semester, projects and for many more things . Also feel free to contact me through solution inn and for any advise related to tutoring and how it works here.thank you.
5.00+
5+ Reviews
10+ Question Solved
Related Book For
Question Posted:
Students also viewed these Mathematics questions
-
Use mathematical induction to prove the formula for all integers n 1. 1. 2 + 4 + 6 + 8 + . . . + 2n = n (n + 1) 2. 6 + 12 + 18 + 24 + . . . + 6n = 3n (n + 1)
-
Use mathematical induction to prove the formula for all integers n 1. 1. 3 + 5 + 7 + . . . + (2n + 1) = n (n + 2)
-
As they do every year, John and Jane donated to several charities in 2018. They have official receipts for all their contributions: Alzheimer's Society Heart & Stroke Foundation Church of Your City...
-
Are the marks one receives in a course related to the amount of time spent studying the subject? To analyze this mysterious possibility, a student took a random sample of 10 students who had enrolled...
-
If the quantity of the ending inventory is larger than that of the beginning inventory will the amount of income from operations determined by absorption costing be more than or less than the amount...
-
Using the data in BE4-3, identify the accounts that would be included in a post-closing trial balance.
-
The September 30, 2010, adjusted trial balance of Java Jolt, Inc., is shown next. Requirements 1. Prepare the September closing entries for Java Jolt, Inc. 2. Calculate the ending balance in Retained...
-
Consider the following condensed financial statements of Secure Life, Inc. The companys target rate of return is 12%. Requirements 1. Calculate the companys ROI. Round all of your answers to four...
-
HOW fast is the world economy growing? How important is China as an engine of growth? How much richer is the average person in America than in China? The answers to these huge questions depend...
-
Holcomb Candles, Inc. manufactures decorative candles and has contracted with a national retailer to supply a set of special holiday candles to its 8,500 stores. These include large jars, small jars,...
-
Find the distance between the points. (6, 2), (1, 3)
-
Find an equation of the line through the points (1, 2) and (3, 4).
-
At the beginning of 2014, Kao Company, a small private company, acquired a mine for $850,000. Of this amount, $100,000 was allocated to the land value and the remaining portion to the minerals in the...
-
A person to whom goods are shipped. a. bailee b. bailment c. bailor d. carriers lie n e. common c arrier f. consignee g. consignor h. constructive ba ilment i. lien j. transient
-
Carlsberg is considering a new retail lager investment in Copenhagen. Financial projections for the investment are tabulated here. The Danish corporate tax rate is 25 per cent and the investment is...
-
What do you believe means more to fans, winning the championship once in a while or being competitive every year?
-
Indicate whether each of the following statements is true or false by writing T or F in t he a nswer c olumn. A valid contract must either by typed, printed, or written in pen.
-
Indicate whether each of the following statements is true or false by writing T or F in t he a nswer c olumn. A series of letters or e-mail among several persons can satisfy the Statute of Frauds.
-
Daniel Kyler owns a chain of travel goods stores. Management anticipated selling 10,500 suitcases at an average sale price of $180. Variable expenses were budgeted to be 65% of sales revenue, and the...
-
A report from the college dean indicates that for the previous semester, the grade distribution for the Department of Psychology included 135 As, 158 Bs, 140 Cs, 94 Ds, and 53 Fs. Determine what kind...
-
In April 2009, Peoples Energy had the following rate schedule for natural gas usage in singlefamily residences: Monthly service charge $15.95 Per therm service charge 1st 50 therms $0.33606/therm...
-
In problem, match each graph to one of the following functions: A. y = x 2 + 2 B. y = -x 2 + 2 C. y = |x| + 2 D. y = -|x| + 2 E. y = (x - 2) 2 F. y = -(x + 2) 2 G. y = |x - 2| H. y = -|x + 2| I. y =...
-
In problem, match each graph to one of the following functions: A. y = x 2 + 2 B. y = -x 2 + 2 C. y = |x| + 2 D. y = -|x| + 2 E. y = (x - 2) 2 F. y = -(x + 2) 2 G. y = |x - 2| H. y = -|x + 2| I. y =...
-
The new GE Halidade-X wind turbine can produce up to 17420 horsepower [hp] of output power. The turbine is 853 feet [ft] tall and has a diameter of 722 feet [ft]. The average home uses 655.2...
-
Which exercise is easier to do, a straight-arm pullover with a 45 lb barbell or a bent- arm pullover with a 45 lb barbell? Why? (3 points)
-
Shadee Corporation expects to sell 540 sun shades in May and 320 in June. Each shade sells for $138. Shadee's beginning and ending finished goods inventories for May are 60 and 55 shades,...
Study smarter with the SolutionInn App