Question

Find the first five terms of the sequence

defined recursively as follows: t₁ = 1,
tn = 3(t(n-1)), n≠1, n is a natural number.

Answer 1

1, 3, 9, 27, 81

Explanation:

using the recursive rule

`t_(n)` = 3
`t_(n-1)` with t₁ = 1 , then

t₂ = 3 × t₁ = 3 × 1 = 3

t₃ = 3 × t₂ = 3 × 3 = 9

t₄ = 3 × t₃ = 3 × 9 = 27

t₅ = 3 × t₄ = 3 × 27 = 81

the first 5 terms are 1, 3, 9, 27, 81