Question

How do you write an equation for the nth term of the geometric sequence `36,12,4...`?

Answer 1

`t_n = a xx r^(n - 1)`

We can determine the value of `r` by using the formula `r = t_2/t_1`.

`r = t_2/t_1 = 12/36 = 1/3`

So,

`t_n = 36 xx (1/3)^(n - 1)`

Hopefully this helps!