Write the first five terms of each of the sequence in obtain the corresponding series a₁ = a₂ = 2, a_n = a_n-1 – 1, (n > 2)

a₁ = a₂ = 2
and a_n = a_{n – 1,} n > 2
For n = 3, a₃ = a₂ – 1 = 2 – 1 = 1
For n = 4, a₄ = a₃ – 1 = 1 – 1 = 0
For n = 5, a₅ = a₄ – 1 = 0 – 1 = -1
Hence first 5 terms are 2, 2, 1, 0, -1 and the corresponding series = 2 + 2 + 1 + 0 +(-1)+…