MathsNotKnower MathsNotKnower
  • 23-11-2021
  • Mathematics
contestada

The nth term of a sequence is n^2(n+1)
A) show that the 3rd term of the sequence is 36
b)Prove that all the terms of the sequence are even

Respuesta :

beatsaber0827 beatsaber0827
  • 23-11-2021

a) 3^2(3+1) = 9 x 4 = 36

b)

if the number is even, then its square is even, same goes for odd but its square is odd

n+1 is odd for a even number and vise versa

as long as there's one even number when you times, the answer is even

odd: odd x even

even: even x odd

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