adenhereford5
adenhereford5 adenhereford5
  • 17-03-2021
  • Mathematics
contestada

Prove: The square of the sum of
two consecutive integers is odd.
(n + (n + 1))2= ([ ? ]n + 1)2
= [ ]n2 + [ ]n + []
= 2([ ]n2 + [ ]n) + 1
= odd

Respuesta :

Аноним Аноним
  • 17-03-2021

Answer:

(n + (n + 1))²

= (2n + 1)²

= 4n² + 4n + 1

= 2(2n² + 2n) + 1

= odd

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