jsavagejsavage714 jsavagejsavage714

11-03-2018
Mathematics

contestada

Prove that the square of an odd number is of the form 8k+1 g

Respuesta :

jbankston2022 jbankston2022

17-11-2018

Show that n is odd →∃m∈ℤ,n2=8m+1

Let k be an integer so that n=2k+1. Then n2=(2k+1)2=4k2+4k+1=2(2k2+2k)+1.

But this isn't equal to 8m+1, so can I change that into 4(2m)+1?

Answer Link

Otras preguntas

Someone says, "This old refrigerator uses 130% of the energy consumed by my modern refrigerator." Is that possible? What if someone said, "My modern refrigerato

state one precaution that needs to be taken when carrying out an electrical experiment

Hello! Solve this Quadratic Equation: [tex]x^2 + 4x + 3 = 0[/tex] Use factoring to solve, then double-check using the Quadratic Formula. Include all steps and s

beowulf story 1. After reading the story of Beowulf, what would you say were the qualities deeply esteemed by the people of those times? Read the passage that s

The republican party was split over how to reunify the union. Lincoln and his followers had one goal while the radical republicans wanted drastically different

In what direction did support for women suffrage generally move throughout the country before 1920?

Which of the following details is MOST important to the development of the main idea? (A) (B) (C) (D) Those who took part in the study were 40 to 80 years old a

F=9/5(k-273.15)+32 solve the formula for h

What is the correct IUPAC name for 3,3,4-Trimethylpentane

PLEASE HELP ME I WILL GIVE YOU 100 POINT PLEASE HELP AND MARK BRAINLETS AND STOP REPORTING ME I ALREADY LOST 100 POINTS