Given,

a₁ = 2 = a₂, a_n = a_n–1 – 1, n>2

We can find the first five terms of a sequence by putting values of n

from 1 to 5

When n = 1:

a₁ = 2

When n = 2:

a₁ = 2

When n = 3:

a₃ = a_3–1 – 1

⇒ a₃ = a₂ – 1

⇒ a₃ = 2 – 1

⇒ a₃ = 1

When n = 4:

a₄ = a_4–1 – 1

⇒ a₄ = a₃ – 1

⇒ a₄ = 1 – 1

⇒ a₄ = 0

When n = 5:

a₅ = a_5–1 – 1

⇒ a₅ = a₄ – 1

⇒ a₅ = 0 – 1

⇒ a₅ = -1

∴ First five terms of the sequence are 2, 2, 1, 0, -1.