Prove the statement using induction

Assignment Help Mathematics
Reference no: EM131126150

Prove the following statement, using induction on n. if n ∈ N and x and y are greater than or equal to zero, then
((x + y)/2)n < (xn + yn)/2

 

Reference no: EM131126150

Questions Cloud

Important factor for regulating respiratory : The most important factor for regulating respiratory rate is And If pH decreases, PCO2 increases, or temperature increases, the amount of oxygen bound to hemoglobin
Denature a protein sample for electrophoresis based analysis : Why might it be important to denature a protein sample for an electrophoresis based analysis?
Differentiate phonological awareness : Identify some good activities to help children explore these skills. Be sure to identify each activity as either phonological/phonemic awareness or phonics. Where did you find each activity?
What particular item of financial or operating data : What item appears on both the balance sheet and the statement of owner's equity? What item appears on both the balance sheet and the statement of cash flows?
Prove the statement using induction : Prove the following statement, using induction on n. if n ∈ N and x and y are greater than or equal to zero, then
Exaggerated response of the immune system : Once cytotoxic T cells are produced, which of the following is (are) consistent with their ability to attack intracellular viruses? An abnormal, exaggerated response of the immune system is called
Incur a net loss or realize net income : A business had revenues of $600,000 and operating expenses of $715,000. Did the business (a) Incur a net loss or (b) Realize net income?
What are the possible fates for this molecule : Which molecule of glycolysis is called the "branch-point molecule". -- What are the possible fates for this molecule?
Describe the anatomy and histology of the respiratory system : Describe the anatomy and histology of the respiratory system and how each of the functions are related

Reviews

Write a Review

Mathematics Questions & Answers

  The equation of the line that passes through the points

Y-1=X+8 How do I find the general form of the equation of the line that passes through the points?

  Last weeks sales of imac computers at an apple store in

last weeks sales of imac computers at an apple store in oklahoma city okare shown in the following tabledaysales

  Different age categories have different mean blood pressure

Is there sufficient evidence to support the claim that women in the different age categories have different mean blood pressure levels?

  Find the coefficient of correlation and interpret meaning

The Bradford Electric Illuminating Company is studying the relationship between kilowatt-hours (thousands) used and the number of rooms in a private single-family residence.

  Compute amount of final price adjustment because of

calculate the amount of the final price adjustment because of defective pricing. labor was overpriced by 15000.

  Calculate the appropriate test statistic to test hypotheses

Calculate the appropriate test statistic to test the hypotheses.

  Two of the laptops are faulty

A company manufacturing laptops believes that 5% of their computers are faulty. They take a sample of 30 computers. Showing your calculations, find the probability; a. Two of the laptops are faulty

  Find the corresponding errors in given problem

Find the approximations T10, M10, and S10 for 0∫π 38 sinx dx. Find the corresponding errors ET, EM, and ES. How large do we have to choose n so that the approximations Tn, Mn, and Sn to the integral in part (a).

  What is the final balance due

Shawn Bixby borrowed $18,200 on a 132-day, 13% note. After 75 days, Shawn paid $3,200 on the note. On day 107, Shawn paid an additional $5,200. Use ordinary interest.

  Calculate the effects size (n2) for the main effects

Calculate the effects size (n2) for the main effects and the interaction

  1 state eulers circuit theorem explain why this theorem

1. state eulers circuit theorem. explain why this theorem should be true2. explain cantors diagonalization argument.

  Find what are the largest and smallest revenues

Application of differential calculus: Maximization and Minimization and find what are the largest and smallest revenues your company can make under this deal?

Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd