Use the Principle of Mathematical Induction to show that the given statement is true for all natural
Question:
Use the Principle of Mathematical Induction to show that the given statement is true for all natural numbers n.
1 + 3 + 32 + … + (3n – 2) = 1/2n(3n – 1)
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 70% (10 reviews)
I n1 311 and 1 and 3 1 1 II If 13...View the full answer
Answered By
Hassan Imtiaz
The following are details of my Professional Experience. Responsibilities Eight years of demanding teaching experience in the field of finance and business studies at Master’s Level. Completion of the given tasks within given time with quality and efficiency. Marketing professional with practical experience in and solid understanding of a diverse range of management applications, including market analysis, sales and marketing, team building and quality assurance. I have excellent skills to approach deal and sustain corporate clients / customers by demonstrating not only extraordinary communication and interpersonal skills but also high caliber presentation, negotiation and closing skills. Manage and follow up the day-to-day activities. Manage and co-ordinate the inventories. Fulfillment of all the tasks assigned.
The following are details of my Areas of Effectiveness. Finance 1. Corporate Finance 2. Advanced Corporate Finance 3. Management of Financial Institutions 4. International Financial Management 5. Investments 6. Fixed Income 7. Real Estate Investment 8. Entrepreneurial Finance 9. Derivatives 10. Alternative Investments 11. Portfolio Management 12. Financial Statement Analysis And Reporting (US GAAP & IFRS) 13. International Financial Markets 14. Public Finance 15. Personal finance 16. Real estate 17. Financial Planning Quantitative Analysis 1. Time Value Of Money 2. Statistics 3. Probability Distribution 4. Business Statistics 5. Statistical Theory and Methods Economics 1. Principles of Economics 2. Economic Theory 3. Microeconomic Principles 4. Macroeconomic Principles 5. International Monetary Economics 6. Money and Banking 7. Financial Economics 8. Population Economics 9. Behavioral Economics International Business 1. Ethics 2. Business Ethics 3. An introduction to business studies 4. Organization & Management 5. Legal Environment of Business 6. Information Systems in Organizations 7. Operations Management 8. Global Business Policies 9. Industrial Organization 10. Business Strategy 11. Information Management and Technology 12. Company Structure and Organizational Management Accounting & Auditing 1. Financial Accounting 2. Managerial Accounting 3. Accounting for strategy implementation 4. Financial accounting 5. Introduction to bookkeeping and accounting Marketing 1. Marketing Management 2. Professional Development Strategies 3. Business Communications 4. Business planning 5. Commerce & Technology Human resource management 1. General Management 2. Conflict management 3. Leadership 4. Organizational Leadership 5. Supply Chain Management 6. Law 7. Corporate Strategy Creative Writing 1. Analytical Reading & Writing Other Expertise 1. Risk Management 2. Entrepreneurship 3. Management science 4. Organizational behavior 5. Project management 6. Financial Analysis, Research & Companies Valuation 7. And any kind of Excel Queries
4.80+
150+ Reviews
230+ Question Solved
Related Book For
Question Posted:
Students also viewed these Mathematics questions
-
Use the Principle of Mathematical Induction to show that the given statement is true for all natural numbers n. 1 2 + 2 2 + 3 2 + n 2 = 1/6n(n + 1)(2n + 1)
-
Use the Principle of Mathematical Induction to show that the given statement is true for all natural numbers n. 1 3 + 2 3 + 3 3 + + n 3 = n 2 (n + 1) 2
-
Use the Principle of Mathematical Induction to show that the given statement is true for all natural numbers n. 4 + 3 + 2 + ... + (5 - n) = 1/2n(9 - n)
-
What is your perspective on changes in cultural ideals for the female body from that of Marilyn Monroe in the 1950s to top models today?
-
Explain how Royal Caribbean accounts for customer deposits as passengers purchase cruise tickets in advance.
-
If you have a hair dryer handy, try supporting a ping-pong ball in a vertical column of air coming from the dryer. a. Can you get the ping-pong ball to stay in place? How far from the center can the...
-
Mr. Tam is the front man for the Asian American dance-rock band The Slants. Mr. Tam named his band The Slants to reclaim and take ownership of Asian stereotypes. The band draws inspiration for its...
-
The senior management at Canine Kernels Company (CKC) is concerned with the existing capacity limitation, so they want to accept the mix of orders that maximizes the companys profits. Traditionally,...
-
To solve this model economy, we reformulate the competitive equilibrium into the social planner's problem. First of all, in social planner's problem, all markets must clear, and thus N = Nd = N, and...
-
Canada produces steel domestically and also imports it from abroad. Assume that the world market for steel is competitive and that Canada is a small producer, unable to affect the world price. Since...
-
Jack is single and he made his first taxable gift of $1,000,000 in 2008. Jack made additional gifts in 2009, at which time he gave $1,750,000 to each of his three children and an additional...
-
Show that each sequence is arithmetic. Find the common difference and write out the first four terms. {S n } = {e lnx }
-
A 12.0-g bullet is accelerated from rest to a speed of 700 m/s as it travels 20.0 cm in a gun barrel. Assuming the acceleration to be constant, how large was the accelerating force?
-
Define the relation R on the integers by R = {(x, y) Z times Z: |x - y| = l}. List all ordered pairs (x, y) R which have x = 0 Is R is symmetric? Justify your answer. Is R is transitive? Justify your...
-
What laws do other countries in Africa and globally have in regard to practice of abortion?
-
"Suppose you won P10,000 and you plan to invest it for 5 years. A cooperative group offers 2% simple interest rate per year. A bank offers 2% compounded annually. Which will you choose and why?"...
-
How does this provision in the Kenyan law affect the practice of abortion in Kenya?
-
How do the different types of financing available to healthcare organizations, such as debt financing, equity financing, and government funding, impact the overall financial stability and long-term...
-
Describe the Kaplan and Norton balanced scorecard approach to performance measurement?
-
7 A 29-year-old, previously healthy man suddenly collapses at a party where legal and illicit drugs are being used. Enroute to the hospital, he requires resuscitation with defibrillation to establish...
-
Problems 94103. 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. What...
-
Problems 91 100. 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....
-
Problems 94103. 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. Find...
-
I. For each of the following functions, do the following: a. Determine if f is continuous at a. b. Determine if f is differentiable at a. 1. 5-6x if x3 f(x)=-4-x ifx>3 ; a=3 4. f(x)= x-9 if x <3 ;a=3...
-
Molander Corporation is a distributor of a sun umbrella used at resort hotels. Data concerning the next month's budget appear below: Selling price per unit Variable expense per unit Fixed expense per...
-
Consider the simplest complex constellations of 8-PSK and 16-PSK which sends symbols along both the I and Q components, as shown in Fig. 1. Let E denote the average transmit power, and 2 the variance...
Study smarter with the SolutionInn App