Question

How do you find the 9th term of the geometric sequence: 1875, 375, 75, 15,...?

Answer 1

Use the formula provided below...
The ninth term is `3/625`

Explanation:

The general formula for a geometric sequence is

`t_n = t_1r^(n-1)`

where `t_1` is the first term, `t_n` is the `n^(th)` term and `r` is the common ratio.

Here, the common ration is `1/5`, so

`t_9 = 1875*(1/5)^8 = 3/625`