Answer: D = 22, 67, 202, 607
Step-by-step explanation:
Given;
a₁ = 2
aₙ = 3aₙ₋₁ + 1
a₂ = 3a₂₋₁ + 1
= 3a₁ + 1
= 3(2) + 1 (recall a₁ = 2)
= 6+1
=7
a₂ =7
a₃ = 3a₃₋₁ + 1
=3a₂ + 1
= 3(7) + 1 (recall a₂=7)
=21 + 1
=22
a₃ = 22
a₄= 3a₄₋₁
=3a₃ + 1
= 3(22) + 1
= 66 + 1
= 67
a₄=67
a₅ = 3a₅₋₁
=3a₄ + 1
= 3(67) + 1
= 201 + 1
=202
a₅=202
a₆ =3a₆₋₁ + 1
= 3a₅ + 1
=3(202) + 1
= 606 + 1
=607
a₆ =607