Question

Find the sixth term in the sequence: 1, 3, 9, ...

Answer 1

a₆ = 243

Explanation:

There is a common ratio between consecutive terms , that is

3 ÷ 1 = 9 ÷ 3 = 3

This indicates the sequence is geometric with nth term

`a_(n)` = a₁
`r^(n-1)`

where a₁ is the first term and r the common ratio

Here a₁ = 1 and r = 3 , then

a₆ = 1 ×
`3^(5)` = 1 × 243 = 243