(i)

Put n = 2

A₂= a_2-1 + 2

A₂= a₁ +2

= 1+2 = 3

Put n = 3

A₃= a_3-1 +2

= a₂ + 2

= 3+2 = 5

Put n = 4

A₄= a_4-1 + 2

= a3 + 2

= 5+2 = 7

Put n = 5

A₅= a_5-1 + 2

= a₄ + 2

= 7+2 = 9

Put n = 6

A₆ = a_6-1 +2

= a₅ +2

= 9+2 = 11

(ii)

Put n = 3

A₃= a_3-1 – 3

= a₂ – 3

= 2-3 = -1

Put n = 4

A₄= a_4-1 – 3

= a₃ – 3

= -1 – 3 = -4

Put n = 5

A₅ = a_5-1 -3

= a₄ – 3

= -4 – 3 = -7

Put n = 6

A₆= a_6-1 – 3

= a₅ – 3

= -7 – 3 = -10

Put n = 7

A₇= a_7-1 – 3

= a₆ – 3

= -10 – 3 = -13

(iii)

Put n = 2

A2= a_2-1 / 2

= -1/2

Put n = 3

A₃= a_3-1 / 3

= -1/6

Put n = 4

A₄ = a_4-1 / 3

= -1/24

Put n = 5

A₅= a_5-1 / 3

= -1/120

Put n = 6

A₆= a_6-1 / 3

= -1/720

(iv)

Put n = 2

A₂= 4a_2-1 + 3

= 4a₁ + 3 = 19

Put n = 3

A₃= 4a_3-1 +3

= 4a₂ + 3 = 79

Put n = 4

A₄ = 4a_4-1 + 3

= 4a₃ + 3

= 316 + 3

= 319

Put n = 5

A₅ = 4a_5-1 + 3

= 4a₄ + 3

= 1276 + 3

= 1279

Put n = 6

A₆= 4a_6-1 + 3

= 4a₅ + 3

= 5116 + 3

= 5119