yabu433
yabu433 yabu433
  • 17-10-2021
  • Mathematics
contestada

show that the difference between any two consecutive square number in an odd number ​

Respuesta :

Soore
Soore Soore
  • 17-10-2021

Step-by-step explanation:

4²=16

5²=25

25-16=9

9 is an odd number.

Answer Link
Vitor23
Vitor23 Vitor23
  • 17-10-2021

Any odd integer m is in the form

m=2k+1.

Let n and n+1 be consecutive integers. Then,

[tex](n+1)^2-n^2=n^2+2n+1-n^2=2n+1[/tex]

Answer Link

Otras preguntas

What nation is on a peninsula
What is the purpose of hijab?
Remove all grouping symbols and combine like terms.( 3x + x ^2) - { 4x^2 - 3x +[ 2x^2 - x - (5x^2 + 4x)]}Thank you
Explain the positives and negatives of modernization in Middle Eastern countries
what is dynamics and music?
what does 'every dog has its day' mean?
why do people get asma
7x-8x+4=5x-2 solve for x
what does it mean to 'get it in the neck'?
what does it mean to 'get it in the neck'?