t₁ = 2

t₂ = 3

t₃ = 1

t_n = t_n-3 x t_n-2 x t_n-1

Knowing that the first term is two, the second term is three and the third term is one (t₁ = 2, t₂ = 3 and t₃ = 1), calculate the value of the fourth term (t₄)

Since we need to calculate t₄, substitute n = 4 into the fourth part of the recursive rule (t_n = t_n-3 x t_n-2 x t_n-1)

      t₍₄₎ = t_(4)-3 x t_(4)-2 x t_(4)-1

      t₄ = t₁ x t₂ x t₃                  (But it is known that t₁ = 2, t₂ = 3 and t₃ = 1)

      t₄ = (2)(3)(1)

      t₄ = 6

Repeat this process to find t₅.

Knowing that the first four terms are two, three, one and six (t₁ = 2, t₂ = 3, t₃ = 1 and t₄ = 6) calculate the value of the fifth term (t₅)

Since we need to calculate t₅, substitute n = 5 into the fourth part of the recursive rule (t_n = t_n-3 x t_n-2 x t_n-1)

      t₍₅₎ = t_(5)-3 x t_(5)-2 x t_(5)-1

      t₅ = t₂ x t₃ x t₄                  (But it is known that t₂ = 3 and t₃ = 1 and it was calculated that t₄ = 6)

      t₅ = (3)(1)(6)

      t₅ = 18

Repeat this process to find t₆.

Knowing that the first five terms are two, three, one, six and eighteen (t₁ = 2, t₂ = 3, t₃ = 1, t₄ = 6 and t₅ = 18) calculate the value of the sixth term (t₆)

Since we need to calculate t₆, substitute n = 6 into the fourth part of the recursive rule (t_n = t_n-3 x t_n-2 x t_n-1)

      t₍₆₎ = t_(6)-3 x t_(6)-2 x t_(6)-1

      t₆ = t₃ x t₄ x t₅                  (But it is known that t₃ = 1 and it was calculated that t₄ = 6 and t₅ = 18)

      t₆ = (1)(6)(18)

      t₆ = 108

Sequence: 2, 3, 1, 6, 18, 108, 11664, 22674816, . . .

Sequence: Starting with two, three and one, multiply three succesive terms of the sequence to determine the next term of the sequence.