yabu433 yabu433

17-10-2021
Mathematics

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

Respuesta :

17-10-2021

Step-by-step explanation:

4²=16

5²=25

25-16=9

9 is an odd number.

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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]

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