Question

Find the 5th term in the sequence that is defined as follows:
Please help!!

Answer 1

155

Explanation:

Using the recursive formula and a₁ = 1, then

a₂ = 3a₁ + 2 = 3(1) + 2 = 3 + 2 = 5

a₃ = 3a₂ + 2 = 3(5) + 2 = 15 + 2 = 17

a₄ = 3a₃ + 2 = 3(17) + 2 = 51 + 2 = 53

a₅ = 3a₄ + 2 = 3(51) + 2 = 153 + 2 = 155

Thus the 5 th term is 155