Question

Se n ∈ a N calcular o valor de A= ( -1)²ⁿ - ( -1)₂ⁿ+₃ + ( -1)₃ⁿ - ( -1)ⁿ

Answer 1

A = (-1)^(2n) - (-1)^(2n+3) + (-1)^(3n) - (-1)^n 

(-1)^(2n) = 1 

(-1)^(3n) - (-1)^n = (-1)^2n*(-1)^n - (-1)^n = (-1)^n - (-1)^n = 0

(-1)^(2n) + (-1)^(2n) = 1 + 1

A = 1 + 1 = 2