Use induction to prove that (n !>2^{n}) for (n geq 4). Let (left{F_{n}ight}) be the Fibonacci sequence,
Question:
Use induction to prove that \(n !>2^{n}\) for \(n \geq 4\).
Let \(\left\{F_{n}ight\}\) be the Fibonacci sequence, defined by the recursion formula
\[
F_{n}=F_{n-1}+F_{n-2}, \quad F_{1}=F_{2}=1
\]
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 33% (3 reviews)
The question seems to be twofold 1 Use induction to prove that n 2n for n geq 4 2 Explanation of the ...View the full answer
Answered By
Hassan Ali
I am an electrical engineer with Master in Management (Engineering). I have been teaching for more than 10years and still helping a a lot of students online and in person. In addition to that, I not only have theoretical experience but also have practical experience by working on different managerial positions in different companies. Now I am running my own company successfully which I launched in 2019. I can provide complete guidance in the following fields. System engineering management, research and lab reports, power transmission, utilisation and distribution, generators and motors, organizational behaviour, essay writing, general management, digital system design, control system, business and leadership.
5.00+
1+ Reviews
10+ Question Solved
Related Book For
Question Posted:
Students also viewed these Mathematics questions
-
What precedent would be MOST useful to you if you were the creator of a website called csufsucks.com and a federal judge issued an injunction ordering you to take it down and stop future posts on the...
-
GAZ COMPANY PAID DIVIDENDS LAST 4 YEARS AS FOLLOWS DIVIDENDS 2.4 2.5 2 2 YEAR 2000 2001 2002 2003 THIS YEAR THE DIVIDENDS IS 4.5 AND WILL GROW AT A CONSTANT RATE WHAT IS THE PRICE OF THE STOCK IF THE...
-
Modify Figure 11.10, the implementation of the SR master-slave flipflop, to provide asynchronous preset and clear inputs, as in Figure 11.32. When preset and clear are both 0, the device should...
-
Palmer Cheese Company is a small manufacturer of several different cheese products. One product is a cheese spread sold to retail outlets. Susan Palmer must decide how many cases of cheese spread to...
-
How fast (in rpm) must a centrifuge rotate if a particle 7.0 cm from the axis of rotation is to experience an acceleration of 100,000 gs)?
-
How can the Black-Scholes formula not include the expected return on the stock?
-
The following data are from the current accounting records of Crest Company: The president of the company is concerned that the company may be in violation of a debt covenant that requires the...
-
Goal incongruence and ROI. BleefI Corporation manufactures furniture in several divisions, including the Patio Furniture division. The manager of the Patio Furniture division plans to retire in two...
-
Data preparation for modeling We want to predict the normilized price of used devices, before we proceeded to built the model, we had to encode categorical features, we splet the data into train and...
-
Use induction to prove the identity. \(F_{1}+F_{2}+\cdots+F_{n}=F_{n+2}-1\)
-
Let \(P(n)\) be the statement \(2^{n}>n\). (a) Show that \(P(1)\) is true. (b) Observe that if \(2^{n}>n\), then \(2^{n}+2^{n}>2 n\). Use this to show that if \(P(n)\) is true for \(n=k\), then...
-
Shown in Fig. 4.31 are the front and rear wings of an Indy racing car. These wings generate down force, which is the vertical downward force produced by the air moving over the car. Why is such a...
-
Mrs. Liebeck ordered food and coffee at a McDonald's drive-thru. After receiving her order, she placed the coffee cup between her legs and took off the cap to add cream and sugar. The coffee spilled,...
-
Nancy Jackson, a lottery winner, will receive the following payments over the next seven years. She has been approached by an investor who will pay Nancy a lump sum today for the rights to those...
-
In order to justify our scale of operation we must be able to attract enough patients to be inside the feasible range of production. The feasible range is governed by the way productivity changes as...
-
In the letter she wrote "Under Janet Yellen's leadership, the Fed placed Wells Fargo under an asset cap in 2018 due to its 'widespread consumer abuses and other compliance breakdowns. In the more...
-
The stockholders equity section of Jun Company s balance sheet as of April 1 follows. On April 2 , Jun declares and distributes a 1 5 % stock dividend. The stock s per share market value on April 2...
-
At the end of 2013, Seiford Enterprises' Accounts Payable balance was $341,053; at the end of 2014, it was $160,094. Assume that the company purchased $1,951,523 of inventory during 2014 and that...
-
2.) Find the Laplace transform of f(t) 7e-St cos 2t +9 sinh2 2t. Use Laplace Table. %3D
-
Test the series for convergence or divergence. n? n+1 3 n' + 4 n=1
-
Test the series for convergence or divergence. (-1)"1ne " n+1 - n=1
-
Test the series for convergence or divergence.
-
Level II ADRs are: a.none of the other answers b.private placements by foreign firms in U.S. under Rule 144a c.those that are not allowed to be listed on a U.S. Exchange d.those that are listed on a...
-
A life insurance policy issued to a life aged 5 0 pays $ 2 0 0 0 at the end of the quarter year of death before age 6 5 and $ 1 0 0 0 at the end of the quarter year of death after age 6 5 . Use the...
-
Can you help me with the question? I'm not sure where to start. Any help would be appreciated.
Study smarter with the SolutionInn App