Find the first five terms of the recursively defined sequence

Question

 a₁ = 5, a_n = (-1)^(n-1)a_(n-1) for all n ≥ 2

Answer 1

a₁ = 5

n = 2; a₂ = (- 1)^{2 - 1}a₁ = - 5

n = 3; a₃ = (-1)^{3 - 1}a₂ = - 5;

n = 4; a₄= (-1)^{4 - 1}a₃ = 5

n = 5; a₅ = (-1)^5-1a₄ ^{= 5}

^{5, - 5, - 5, 5, 5, ...}