Answer
a₃ = 63
Step-by-step explanation
We are told to find the 3rd term of this sequence.
Then, we are given that
first term = a₁ = 6
nth term = aₙ = 3aₙ₋₁ + n
To find the third term, we need to find the second term first
second term = a₂ = 3a₁ + 2 = 3 (6) + 2 = 18 + 2 = 20
Third term = a₃ = 3a₂ + 3 = 3 (20) + 3 = 60 + 3 = 63
Hope this Helps!!!