Prove that 1 + 5 + 9 + + (4n 3) = n(2n 1) for every positive integer n

Introductory Chemistry 5
Determine the volume of 0.225 M KOH solution required to neutralize each sample of sulfuric acid. The neutralization reaction is: \(\mathrm {H_2SO_4}(aq)+2~\mathrm {KOH}(aq) \longrightarrow \mathrm{K_2SO_4}(aq)+2~\mathrm{H_2O}(l)\) (a) 45 mL of 0.225 M \(\mathrm {H_2SO_4}\) (b) 185 m

Intermediate Accounting 15
Briefly describe the two fundamental qualities of useful accounting information.

Principles of Microeconomics 7
Suppose that the government imposes a tax on heating oil.a.Would the deadweight loss from this tax likely be greater in the first year after it is imposed or in the fifth year? Explain.b.Would the revenue collected from this tax likely be greater in the first year after it is imposed or in the fifth

Psychology 5
According to Kohlberg, each stage in the development of moral reasoning is characterized by a specific focus. What is the correct sequence of these stages? a. focus on consequences, focus on ethical principles, focus on social rules b. focus on ethical principles, focus on social rules, focus on con

Urban Economics 8
Rent Control and Elasticity Consider the effects of rent control in two cities, each of which imposes rent control with a maximum price of $400, compared to an equilibrium price of $500. In Elastic City, the price elasticity of supply of housing is 5.0. In Rigid City, the supply elasticity is 0.40. a

Principles of Economics 9
If business leaders in Great Britain become more confident in their economy, they will increase investment, causing the British pound to _________ and pushing the British trade balance toward _________. a. appreciate; deficit b. appreciate; surplus c. depreciate; deficit d. depreciate; surplus

Biology: The Dynamic Science 5
Which major groupings of animals defined on the basis of morphological characters have been confirmed by molecular sequence studies?

Principles of Economics 9
Alexis, Bruno, and Camila each want an ice-cream cone. Alexis is willing to pay $12, Bruno is willing to pay $8, and Camila is willing to pay $4. The market price is $6. Consumer surplus equals a. $6. b. $8. c. $14. d. $18.