Write the first three terms of the following sequences whose n^th terms are given by

(i) (ii) c_n = (–1)ⁿ3ⁿ⁺² (iii)

(i) Here, a_n =

For n = 1, a₁ = = =

For n = 2, a₂ = = = = 0

For n = 3, a₃ = = = = 1

Hence, the first three terms of the sequence are, 0 and 1.

(ii) Here, c_n = (-1)ⁿ 3^{n + 2}

For n = 1, c₁ = (-1)¹ 3^{1 + 2} = (-1) 3³ = (-1) (27) = -27

For n = 2, c₂ = (-1)² 3^{2 + 2} = (1) 3⁴ = (1) (81) = 81

For n = 3, c₃ = (-1)³ 3^{3 + 2} = (-1) 3⁵ = (-1) (243) = -243

Hence, the first three terms of the sequence are -27, 81 and -243.

(iii) Here, z_n =

For n = 1, z₁ = = =

For n = 2, z₂ = = = = 2

For n = 3, z₃ = = =

Hence, the first three terms of the sequence are, 2 and.