Prove that n2 + 1 2n when n is a positive integer with 1 n

Question:

Prove that n2 + 1 ≥ 2n when n is a positive integer with 1 ≤ n ≤ 4.

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For book-img-for-question

Discrete Mathematics and Its Applications

ISBN: 978-0073383095

7th edition

Authors: Kenneth H. Rosen

See More Books

Question Posted: May 02, 2016 12:14 PM

See More Questions

(a) If X has a gamma distribution with parameters (t, ), what is the distribution of cX, c > 0? (b) Show that has a gamma distribution with parameters n, when n is a positive integer and 22n is a...
When n is a positive integer, set (a) Find the solution un(x) to the boundary value problem -u" = fn(x), u(0) = u(l) = 0, assuming 0 (b) Prove that converges to the Green's function (11.59). Why...
If n is a positive integer and n 1, prove that is a perfect square. -1 (n- + (":')
How can we use these theories to analyze factors which influence the longevity and adaptability of these organizations in changing landscapes?
Why is project assessment important?
What term means managing the entire organization so that it excels on all dimensions of products and services that are important to customers? LO12-2
91.20
Austin Landers is the accountant for Sun Coast, a manufacturer of outdoor furniture that is sold through specialty stores and internet companies. Annually, Landers is responsible for reviewing the...
A conroany is analyzing two mutially exdusive peojects, S and L, with the following cash flows: P places
Elm Manufacturing Company (ELM) is a small manufacturer of backpacks located in Rochelle, Illinois. You have access to ELM's electronic records (via the "Sales 2017 - 4th Quarter" dataset provided...
Use a proof by contradiction to prove that the sum of an irrational number and a rational number is irrational.
Prove that there exists a pair of consecutive integers such that one of these integers is a perfect square and the other is a perfect cube.
Presented here is the income statement for Big Surf, Inc., for the month of May: Sales . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ....
How do we design an electromagnetic sensor?
What is a virtual breadboard?
Joe secured a loan of $13,000 four years ago from a bank for use toward his college expenses. The bank charges interest at the rate of 9%/year compounded monthly on his loan. Now that he has...
Answer these two questions 1 32 2 Number of Units Sold 3 4 ! Direct Material units per unit of production 5 i 6 Total Direct Materials Used 7! 8 Price Per Unit 9 10 Cost of Direct Materials 11 12 13...
Give an algorithm for converting a tree to its mirror. Mirror of a tree is another tree with left and right children of all non-leaf nodes interchanged. The trees below are mirrors to each other....
Benzene is a hydrocarbon that has the molecular formula C 6 H 6 . The benzene molecule contains a six-carbon ring and three double bonds. Draw its structural formula.
You have accepted the engagement of auditing the financial statements of the C. Reis Company, a small manufacturing firm that has been your auditee for several years. Because you were busy writing...
A fair die is rolled and then n fair coins are tossed, where n is the number showing on the die. What is the probability that no heads appear?
Each of m urns contains three red chips and four white chips. A total of r samples with replacement are taken from each urn. What is the probability that at least one red chip is drawn from at least...
If two fair dice are tossed, what is the smallest number of throws, n, for which the probability of getting at least one double 6 exceeds 0.5?
44. Dryer Companys policy is to keep 25% of the next month's sales in ending inventory. If Dryer meets its ending inventory policy at the end of April and sales are expected to be 24,000 units in May...
What general conclusions can you draw about your companys liquidity, solvency and productivity based on your ratio calculations. Working Capital 2017 = $9,994 M 2016 = $10,673 M Current Ratio 2017 =...
Tami Tyler opened Tami's Creations, Incorporated, a small manufacturing company, at the beginning of the year. Getting the company through its first quarter of operations placed a considerable strain...

Prove that n2 + 1 2n when n is a positive integer with 1 n

Question:

Step by Step Answer:

We give an exhaustive proofjust check the entire ...View the full answer

Discrete Mathematics and Its Applications

Students also viewed these Statistics questions