JacobsonG12 JacobsonG12
  • 16-11-2017
  • Mathematics
contestada

Show that if n is an integer and n^3 + 5 is odd then n is even

Respuesta :

Rod44 Rod44
  • 16-11-2017
If n is odd then its cube is also odd because odd times odd is odd. When we add 5, an odd number, we get an even number.
If n is even, its cube is also even so adding an odd number makes the sum odd. So if the expression is odd, n must be even.
Answer Link

Otras preguntas

In 450 BC, Roman leaders introduced a code of written law known as , which outline the rules and rights of Roman citizens.
If it took him 27 minutes and 25 minutes on two of the days how long did it take him on the third day
Write 200 words about where you would go if you could travel anywhere in the world. Go into detail as to why you would go to your chosen place. it has to be in
Use a whole number, a fraction, one plus sign, and four 2's to make 23.
If the first step in the solution of the equation -x + 6 = 5 - 3x is "subtract 5," then what should the next step be? add x add 3x subtract 6
Which words in these sentences indicate an opinion
give an overview of the process depicted in the diagram
I'm so confused#11th grade math work,If you can solve this I'll give you brainlest
A Ferris wheel has a diameter of 100 feet. The highest point of the wheel is 125 feet. The y-axis represents the center of the wheel. Write the standard form eq
The area of triangle formed by points of intersection of parabola y=a(x−1)(x−4) with the coordinate axes is 3. Find a if it is known that parabola opens downwa