Question

If ai6 and an=3an-1 + n then find the value of az.Answer:

Answer 1

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!!!