Find the first terms of the sequence given the following recursive formula

Question

a₁ =8, a₂=-3, and a_n=2a_n-1+a_n-2 for n≥3

enter the terms separated by commas

Answer 1

a₃ = 2a₂ + a₁

a₃ = 2(-3) + 8

a₃ = -6 + 8

a₃ = 2

 

a₄ = 2a₃ + a₂

a₄ = 2(2) + (-3)

a₄ = 4 - 3

a₄ = 1

 

And so on.