Write the first five terms of the sequence defined recursively.

Question

a0=-13, a1=13, a_k-2 +a_k-1

Answer 1

a₀=-13

a₁=13

a_k-2 +a_k-1 [for k>1]

a₀ = -13

a₁ = 13

a₂ = a₀ + a₁ = -13 + 13 = 0 [note: k=2]

a₃ = a₁ + a₂ = 13 + 0 = 13 [k=3]

a₄ = a₃ + a₂ = 0 + 13 = 13 [k=4]

Note that some sequences begin with a₀ and some with a₁. These are "the first five terms."