Question

Which recursive sequence would produce the sequence 4, -14, 58, ...?

a₁ = 4 and an = -4an-1 +2
a₁ = 4 and an = −3an-1 – 2
a₁ = 4 and an = 2an-1
a₁ = 4 and an = −2an-1-3

Answer 1

The first one is the right one

Explanation:

The recursive sequence that produces the sequence 4, -14, 58, ... is given by:

a₁ = 4

aₙ = -4aₙ₋₁ - 2, for n ≥ 2