9ws58gcdcr 9ws58gcdcr
  • 02-01-2024
  • Mathematics
contestada

Prove that (n+5)2-(n+3)2 is a multiple of 4 for all positive integer values of n

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caylus
caylus caylus
  • 02-01-2024

Answer:

Step-by-step explanation:

[tex](n+5)^2-(n+3)^2=(n+5+n+3)(n+5-n-3)=(2n+8)(2)=4(n+4)\\[/tex]

is a multiple of 4.

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