if a1 = 3 and an = 3an - 1 +n then find the value of a3

Answer 1

Sequence:

a_n = 3(a_n-1) + n

a₁ = 3

a₂ = 3 (a₁) + 2 = 3 (3) + 2 = 9 + 2 = 11

a₃ = 3 (a₂) + 3 = 3 (11) + 3 = 33 + 3 = 36

a₃ = 36