Write the first five terms of each of the following sequences whose nth terms are :

(i)

(ii)

(iii)

(iv)

(v)

(vi)

(vii)

(viii)

(ix)

(i)

Put n = 1

A₁ = 3(1) + 2 = 3+2=5

Put n = 2

A₂ = 3(2) + 2=8

Put n = 3

A₃ = 3(3) + 2 = 9+2=11

Put n = 4

A₄ = 3(4) +2 = 12+2=14

Put n =5

A₅ = 3(5) + 2 = 15+2=17

(ii)

Put n = 1

A₁= =

Put n = 2

A₂= = 0

Put n = 3

A₃= =

Put n = 4

A₄= =

Put n = 5

A₅= = = 1

(iii)

Put n = 1

A₁= 31= 3

Put n = 2

A₂= 32= 9

Put n = 3

A₃= 33= 27

Put n = 4

A₄= 34= 81

Put n = 5

A₅= 35= 243

(iv)

Put n = 1

A₁= = =

Put n = 2

A₂= = =

Put n = 3

A₃= = =

Put n = 4

A₄= = = = 2

Put n = 5

A₅ = = =

(v)

Put n = 1

A₁= (-1)1.21 = (-1).2 = -2

Put n = 2

A₂= (-1)2.22 = (1).4 = 4

Put n = 3

A₃= (-1)3.23 = (-1).8 = -8

Put n = 4

A₄= (-1)4.24 = (1).16 = 16

Put n = 5

A₅= (-1)5.25 = (-1).32 = -32

(vi)

Put n = 1

A₁= =

Put n = 2

A₂= = 0

Put n = 3

A₃= =

Put n = 4

A₄= = = 4

Put n = 5

A₅= =

(vii)

Put n = 1

A₁= (1)² – 1+1 = 1

Put n = 2

A₂= (2)² -2+1 = 3

Put n = 3

A₃= (3)² -3+1 = 9-2 = 7

Put n = 4

A₄ = (4)² -4+1 = 16-3 = 13

Put n = 5

A₅= (5)² – 5+1 = 25-4 = 21

(viii)

Put n = 1

A₁= 2(1)²– 3(1) + 1 = 2-3+1 = 0

Put n = 2

A₂= 2(2)² – 3(2) + 1 = 8-6+1 = 3

Put n = 3

A₃= 2(3)² – 3(3) + 1 = 18-9+1 = 10

Put n = 4

A₄= 2(4)² – 3(4) + 1 = 32-12+1 = 21

Put n = 5

A₅= 2(5)² – 3(5) + 1 = 50-15+1 = 36

(ix)

Put n = 1

A₁= =

Put n = 2

A₂= =

Put n = 3

A₃= = =

Put n = 4

A₄= =

Put n = 5

A₅= =