t₁ = 20

t_n = t_n-1 - 10

Knowing that the first terms is twenty (t₁ = 20), calculate the value of the second term (t₂)

Since we need to calculate t₂, substitute n = 2 into the second part of the recursive rule (t_n = t_n-1 - 10)

      t₍₂₎ = t_(2)-1 - 10

      t₂ = t₁ - 10                  (But it is known that t₁ = 20)

      t₂ = 20 - 10

      t₂ = 10

Repeat this process to find t₃.

Knowing that the first two terms are twenty and ten (t₁ = 20 and t₂ = 10), calculate the value of the third term (t₃)

Since we need to calculate t₃, substitute n = 3 into the second part of the recursive rule (t_n = t_n-1 - 10)

      t₍₃₎ = t_(3)-1 - 10

      t₃ = t₂ - 10                  (But it was calculated that t₂ = 10)

      t₃ = 10 - 10

      t₃ = 0

Repeat this process to find t₄.

Knowing that the first three terms are twenty, ten and zero (t₁ = 20, t₂ = 10 and t₃ = 0), calculate the value of the fourth term (t₄)

Since we need to calculate t₄, substitute n = 4 into the second part of the recursive rule (t_n = t_n-1 - 10)

      t₍₄₎ = t_(4)-1 - 10

      t₄ = t₃ - 10                  (But it was calculated that t₃ = 0)

      t₄ = 0 - 10

      t₄ = -10

Repeat this process to find as many terms as required.

Sequence: 20, 10, 0, -10, -20, -30, -40, . . .

Sequence: Starting with twenty, subtract ten from each term of the sequence to determine the next term of the sequence.